Carr G.S. — Formulas and Theorems in Pure Mathematics :: Электронная библиотека попечительского совета мехмата МГУ

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Carr G.S. — Formulas and Theorems in Pure Mathematics

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Название: Formulas and Theorems in Pure Mathematics

Автор: Carr G.S.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Second Edition

Год издания: 1970

Количество страниц: 988

Добавлена в каталог: 07.05.2008

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Предметный указатель

Differential coefficients or differential quotients or derivatives, successive or of nth order, $tan^{-1}x$       1468 apN.9
Differential coefficients or differential quotients or derivatives, successive or of nth order, $x^{n-1}logx$       1466
Differential coefficients or differential quotients or derivatives, successive or of nth order, $\frac{1}{1+x^{2}}$       1469
Differential coefficients or differential quotients or derivatives, successive or of nth order, $\frac{x}{1+x^{2}}$       1470 J.8
Differential coefficients or differential quotients or derivatives, successive or of nth order, $\surd(a^{2}-b^{2}x^{2})$       A.3
Differential coefficients or differential quotients or derivatives, successive or of nth order, ${sin \atop cos}ax$       1461 N.62
Differential coefficients or differential quotients or derivatives, successive or of nth order, ${sin \atop cos}x^{2}$       2862
Differential coefficients or differential quotients or derivatives, successive or of nth order, and summation symbols      J.33 ths32
Differential coefficients or differential quotients or derivatives, successive or of nth order, independent repres. of      M.4
Differential coefficients or differential quotients or derivatives, successive or of nth order, of $(a^{2}+x^{2})^{n}$       2860
Differential coefficients or differential quotients or derivatives, successive or of nth order, of $\frac{1-x}{1+x}$       1467
Differential coefficients or differential quotients or derivatives, successive or of nth order, of a function of a function      G.13
Differential coefficients or differential quotients or derivatives, successive or of nth order, of a function of a function, n = 4      1419
Differential coefficients or differential quotients or derivatives, successive or of nth order, of a logarithmic function      A.8
Differential coefficients or differential quotients or derivatives, successive or of nth order, of a product      1460 1472
Differential coefficients or differential quotients or derivatives, successive or of nth order, of a sum, product, or quotient      1411
Differential coefficients or differential quotients or derivatives, successive or of nth order, of functions of several variables      C.93
Differential coefficients or differential quotients or derivatives, successive or of nth order, tan x      A.12
Differential equations (D.E.)      p.460 3150—3637 A.1 52 67 AJ.4 An.50 C.8 15 23 29 42 54 70 83 CM.3 E.9 J.1 36 58 64 66 74 75 76 78 86 91 L.38 52 56 LM.4 10 M.8 12 25 Man.79 Me.81 Mem.30 Mo.84 N.72 80 Pr.7 TI.13 Z.4 16 27
Differential equations and elliptic functions      L.49
Differential equations and p.d.e of first order      J.23
Differential equations and tortuous curves      L.53
Differential equations for a conical pendulum      A.84
Differential equations for roots of algebraic equations      P.64 Pr.13
Differential equations in linear geometry      M.5
Differential equations in problem of n bodies      An.83
Differential equations of a conic      E.38
Differential equations of a surface      G.2
Differential equations of astronomy      C.9 29 P.4
Differential equations of curves having the same polar surface      An.76
Differential equations of dynamics      C.5 26 40 CD.2 G.1 4 L.37 49 52 55 72 74 M.2 17 25 Mel.4 Pr.12 P.54 55 63
Differential equations of families of surfaces      Me.77
Differential equations of first order      3221—3236 A.29 C.40 45 66 M.3
Differential equations of first order, $dx^{2}+dy^{2}+dz^{2}=ds^{2}$       L.48
Differential equations of first order, $dx^{2}+dy^{2}+dz^{2}=\lambda (da^{2}+d\beta^{2}+d\gamma^{2})$       L.50
Differential equations of first order, $dx^{2}+dy^{2}=ds^{2}$ and analogous eqs      L.73
Differential equations of first order, $F(u, u_{x})=0$       C.93
Differential equations of first order, $x\phi (p)+y\psi (p)=\chi (p)$       3226
Differential equations of first order, adx+bdy=ds      3287
Differential equations of first order, Clairaut's equation, y=px+f(p)      3230 CM.3 Me.77
Differential equations of first order, homogeneous in x and y      3234
Differential equations of first order, integration by second order d.e      A.46
Differential equations of first order, linear      p467 C.86 G.13 algG.18 M.23
Differential equations of first order, linear, $(ax+by+c)dx+(a^{'}x+b^{'}y+c^{'})dy=0$       3205 p471 L.59
Differential equations of first order, linear, $(ax+by+c)^{n}dx+(a^{'}x+b^{'}y+c^{'})^{n}dy$       A.64
Differential equations of first order, linear, $P_{1}dx+P_{2}dy+Q(xdy-ydx)=0; P_{1}, P_{2}$ being homogeneous and of the pth deg. in x, y; Q homogeneous and of the qth deg.      3212
Differential equations of first order, linear, $P_{1}dx+P_{2}dy+Q(xdy-ydx)=0; P_{1}, P_{2}, Q$ different linear functions of x, y      C.78 83 L.45 J.24
Differential equations of first order, linear, $u_{x}+bu^{2}=cx^{m}$ (Riccati's eq.)      3214 A.40 C.11 85 ext28 JP.14 L.41 P.81 Q.7 11 16
Differential equations of first order, linear, $u_{x}+bu^{2}=cx^{m}$ (Riccati's eq.), m=-6      E.7
Differential equations of first order, linear, $y_{x}+a+by+y^{2}=0$       J.25
Differential equations of first order, linear, $y_{x}+f(x)sin y+F(x)cos y+\phi (x)=0$       L.46
Differential equations of first order, linear, $y_{x}+Py=Q$ , where P, Q involve x only      3210
Differential equations of first order, linear, $y_{x}+Py=Qy^{n}$       3211
Differential equations of first order, linear, $y_{x}+y^{2}=\frac{A}{(P+2Qx+Rx^{2})^{2}}$ , where P, Q, R are functions of x      Mem.11
Differential equations of first order, linear, $y_{x}=f(x, y)$       An.73 L.55
Differential equations of first order, linear, $y_{x}=f(y)$       J.9
Differential equations of first order, linear, $y_{x}=\frac{3y(y+1)-4x}{x(8y-1)}$       C.88
Differential equations of first order, linear, $y_{x}\surd (m+x)=\lambda y\sqrt{m-x}$       A.42
Differential equations of first order, linear, $\frac{dx}{\surd P}+\frac{dy}{\surd Q}=0;$ P, Q being quartics in x, y      C.66 LM.8 ME.79
Differential equations of first order, linear, $\frac{f(x)dx}{F(x)}+\frac{f(y)dy}{F(y)}=0, {f(x)\, of\, 1st\, deg\, \atop F(x)\, of\, 5th\, deg}$       C.92
Differential equations of first order, linear, allied eqs      L.51 Me.78 Q.12
Differential equations of first order, linear, exact      3187
Differential equations of first order, linear, homogeneous      3186
Differential equations of first order, linear, integration by a particular integral      C.86
Differential equations of first order, linear, Mdx+Ndy=0      3184 N.74 77
Differential equations of first order, linear, reduction to a continued fraction of a fraction which satisfies a      C.98
Differential equations of first order, linear, separation of variables      3185 CM.1
Differential equations of first order, linear, sol. by continued fractions      Mem.18
Differential equations of first order, linear, sol. by definite integrals      J.12
Differential equations of first order, linear, transformation of      Me.83
Differential equations of first order, linear, yy+Py+Q      Mem.11
Differential equations of first order, reduction to a linear form with respect to the derivatives of an unknown function      C.87
Differential equations of first order, related transcendents      Ac.3
Differential equations of first order, separation of variables      CD.9
Differential equations of first order, singular solution      3230 A.56 58 CP.9 J.48 Me.73 77
Differential equations of first order, solution by differentiation      3236
Differential equations of first order, solution by factors      3222
Differential equations of first order, transf. by elliptic coords      J.65
Differential equations of first order, two variables      An.76 J.40 Mem.62 N.50
Differential equations of first order, two variables, singular solution      J.38
Differential equations of first order, verified by a reciprocal relation between two systems of values of variables      C.15
Differential equations of functions of elliptic cylinders      M.22
Differential equations of higher order      3251—3269
Differential equations of higher order, $Py_{nx}+Q=0,$ where P, Q are functions of x, y, and the first n-1 derivatives of y      J.31
Differential equations of higher order, $y_{nx} = F(y_{(n-1)x})$       3258
Differential equations of higher order, $y_{nx} = F(y_{(n-2)x})$       3260
Differential equations of higher order, linear      3237—3250 A.65 C.97 J.16 M.4 Q.18
Differential equations of higher order, linear, $(d_{x}+a)^{n}y=f(x)$       CM.4
Differential equations of higher order, linear, $(p+qx)^{n}y_{nx}+\alpha_{1}(p+qx)^{n-1}y_{(n-1)x}+...\alpha_{n}y=f(x)$       3250
Differential equations of higher order, linear, $(p+qx)^{n}y_{nx}+\alpha_{1}(p+qx)^{n-1}y_{(n-1)x}+...\alpha_{n}y=f(x)$ , with p=0      C.96
Differential equations of higher order, linear, $Axy_{nx}+By_{(n-1)x}=x^{m}(Axy_{x}+By)$       Z.8
Differential equations of higher order, linear, $Ax^{2}y_{(n+2)x}+Bxy_{(n+1)x}+Cy_{nx}=x^{m}(ax^{2}y_{2x}+bxy_{x}+Cy)$       A.38
Differential equations of higher order, linear, $ditto = e^{ax}$       3528
Differential equations of higher order, linear, $xy_{nx}+ay_{(n-1)x}=bxy$       J.2 Z.10
Differential equations of higher order, linear, $xy_{nx}+\lambda y_{(n-1)x}=x(xy_{x}+\mu y)$       A.86
Differential equations of higher order, linear, $xy_{nx}-y_{(n-1)x}+mx^{2}y=0$       A.40
Differential equations of higher order, linear, $xy_{nx}=y$       A.26
Differential equations of higher order, linear, $x^{2m}y_{2mx}=y$       A.42
Differential equations of higher order, linear, $x^{2m}y_{mx}=a^{m}y$       A.32
Differential equations of higher order, linear, $x^{2n}y_{nx}=Axy+By$       A.33
Differential equations of higher order, linear, $x^{2}y_{mx}+q^{m}x^{2}y=p(p-1)y_{(m-2)x}$       J.2
Differential equations of higher order, linear, $x^{m+\frac{1}{2}}y_{(2m+1)x}=\pm y$ by Bessel's function      M.2
Differential equations of higher order, linear, $x^{m}y_{nx}=\pm y$ by definite integrals      C.48 49 J.57
Differential equations of higher order, linear, $x^{n-1}(\alpha+bx)y_{nx}+x^{n-2}(c+d)y_{(n-1)x}+...ty=0$       J.39
Differential equations of higher order, linear, $y_{4x}=xy_{x}-y$       A.1
Differential equations of higher order, linear, $y_{nx}+a_{1}y_{(n-1)x}+...+a_{n}y=0$       3239 A.40
Differential equations of higher order, linear, $y_{nx}-xy=y_{2x}+abx^{n}y$ by definite integrals      J.17
Differential equations of higher order, linear, $y_{nx}=(\alpha+\beta x)y$       J.10
Differential equations of higher order, linear, $y_{nx}=Ax^{2}y_{2x}+Bxy_{x}+Cy$       A.53 M.3
Differential equations of higher order, linear, $y_{nx}=Ax^{m}y_2x+Bx^{m-1}y_{x}+Cx^{m-2}y$       A.29 30 33 38
Differential equations of higher order, linear, $y_{nx}=Ax^{m}y_{x}+Bx^{m-1}y$       A.28 38
Differential equations of higher order, linear, $y_{nx}=f(x)$       3256
Differential equations of higher order, linear, $y_{nx}=x^{m}y$       L.39
Differential equations of higher order, linear, $y_{nx}=x^{m}y$ by definite integrals      J.19
Differential equations of higher order, linear, $y_{nx}=x^{m}y+A+Bx+Cx^{2}+...+Nx^{n}$       Z.10
Differential equations of higher order, linear, $y_{\frac{3x}{2}}+my_{x}+ny_{\frac{x}{2}}+py=q$       L.44
Differential equations of higher order, linear, $\alpha_{m+n}y_{(m+n)x}+...+(a_{m}+x)y_{mx}+...ty=0$       A.47
Differential equations of higher order, linear, ditto = f(x)      3243 3516
Differential equations of higher order, linear, ditto = f(x), $\alpha_{1}...\alpha_{n}$ functions of x      3237 J.39
Differential equations of higher order, linear, ditto = f(x), n fractional and all lower orders integral      L.36
Differential equations of higher order, linear, ditto=sin mx      3529
Differential equations of higher order, linear, of orders p and m+p, th      C.43
Differential equations of hypergeometrical series      J.56 57 73
Differential equations of Lame      J.89
Differential equations of light      M.1
Differential equations of motion      C.55
Differential equations of motion of a point      C.26
Differential equations of motion of elastic solids      Q.13
Differential equations of motion of fluids      CP.7
Differential equations of perturbation theory      Mem.83
Differential equations of second order      Ac.1 An.79 JP.29 C.67 69 80 91 J.90 L.39 LM.11 12 13 16 Z.15
Differential equations of second order by Challis's method, and application to Calc. of Variations      A.65 66
Differential equations of second order by factors      C.68
Differential equations of second order in the neighbourhood of critical points      C.87
Differential equations of second order with algebraic integrals      C.82
Differential equations of second order with elliptic function coefficients      Ac.3
Differential equations of second order, $I_{2x}+\frac{1}{x}I_{x}+I=0,$ where I is Bessel's function      J.56
Differential equations of second order, $Myy^{''}+Ny^{'2}=f(x)$       N.79
Differential equations of second order, $yy^{''}=\frac{1}{2}y^{'2}+2py^{2}$       L.73
Differential equations of second order, $y^{''}+Py^{'2}+Qy^{'n}=0$       3279
Differential equations of second order, $y^{''}+Py^{'}+Qy^{'3}=0$ P, Q functions of x      3276
Differential equations of second order, $y^{''}+Py^{'}+Qy^{'n}=0$       3278
Differential equations of second order, $y^{''}+Qy^{'2}+R=0$       3277
Differential equations of second order, derived from linear eq      Me.73
Differential equations of second order, linear      A.29 32 55 64 An.63 79 82 C.82 90 91 93 97 J.51 74 L.36 Me.1 M.11 Mo.64 Z.5
Differential equations of second order, linear, $(1+ax^{2})y^{''}+axy^{'}\pm q^{2}y=0$       3283 3594
Differential equations of second order, linear, $(1-x^{2})y^{''}-xy^{'}+q^{2}y=0$       3282
Differential equations of second order, linear, $(1\mp x^{2})y^{''}\pm my=0, &c.$       CM.3
Differential equations of second order, linear,       A.58
Differential equations of second order, linear, $(a+bx^{n})x^{2}y^{''}+(c+ex^{n})xy^{'}+(f+gx^{n})y=Q$ (Pfaff)      3598 J.2 54

Differential equations of second order, linear, $(a+bx^{n})x^{2}y^{''}+(c+ex^{n})xy^{'}+(f+gx^{n})y=Q$ (Pfaff) and like eqs.      Z.2 3
Differential equations of second order, linear, $(a+bx^{n})x^{2}y^{''}+(c+ex^{n})xy^{'}+(f+gx^{n})y=Q$ (Pfaff) and like eqs. with b=0      A.38
Differential equations of second order, linear, $(m+x)(n+x)y^{''}+(m-n)y^{'}-\lambda^{2}(m+x)^{2}y=0$       A.42
Differential equations of second order, linear, $(mx^{2}+nx+p)y^{''}+(qx+r)y^{'}+sy=0$       JP.13 Z.4
Differential equations of second order, linear, $2x(1-x^{2})y^{''}-y^{'}+n(n+1)y=0$       Q.18
Differential equations of second order, linear, $d_{x} \{(x-x^{3} )y_{x}\}-xy=0$       L.54
Differential equations of second order, linear, $sy^{''}+(r+qx)y^{'}+(p+nx+mx^{2})y=0$       A.23 Z.8 9
Differential equations of second order, linear, $x(1-x)y^{''}+(\frac{2}{3}-\frac{7}{6}x)y^{'}+\frac{1}{48}y=0      $Me.82 Q.17
Differential equations of second order, linear, $xy^{''}+y^{'}+Ax^{m}y=0$       C.39
Differential equations of second order, linear, $xy^{''}+y^{'}+y(x-A)=d_{x}\frac{cos(x+l)}{x+l}$       Me.82
Differential equations of second order, linear, $x^{2}(a-bx)y^{''}-2x(2a-bx)y^{'}+2(3a-bx)y=6a^{2}$       A.28 30
Differential equations of second order, linear, $x^{2}(y^{''}+q^{2})=p(p-1)y$       CM.2
Differential equations of second order, linear, $x^{2}y^{''}+rxy^{'}=(bx^{m}+s)y$       An.51 CD.5
Differential equations of second order, linear, $x^{2}y^{''}-2xy^{'}+2y=x^{2}yf^{-2}$       A.28 30
Differential equations of second order, linear, $x^{4}y^{''}+2x^{3}y^{'}+f(y)=0$       A.28 30
Differential equations of second order, linear, $y^{''}+ax^{m}y=f(m)$       E.6
Differential equations of second order, linear, $y^{''}+a^{2}y=Q$       3522 3525 geoMe.66
Differential equations of second order, linear, $y^{''}+a^{2}y=Q, Q = 0$       3523—3524
Differential equations of second order, linear, $y^{''}+a^{2}y=Q, Q=cos nx$       3526
Differential equations of second order, linear, $y^{''}+f(x)y^{'}+F(y)y^{'2}=0$       3284 L.42
Differential equations of second order, linear, $y^{''}+Py^{2}+Qy+R=0,$ P, Q, R being functions of x      3280
Differential equations of second order, linear, $y^{''}= a$       3288
Differential equations of second order, linear, $y^{''}= Py$       C.9
Differential equations of second order, linear, $y^{''}=Ay(a+2bx+cx^{2})^{-2}$       L.44
Differential equations of second order, linear, $y^{''}=ay+\psi (x)$       A.45
Differential equations of second order, linear, $y^{''}=x^{2}y^{'}-nxy$       A.53
Differential equations of second order, linear, $y^{''}=y(e^{x}+e^{-x})^{-2}$       L.46
Differential equations of second order, linear, $y^{''}=\phi_{0}+y\phi_{1}+y^{2}\phi_{2}+&c.$ , when $\phi_{0} &c.$ are trigonometrical series      C.98
Differential equations of second order, linear, $y^{''}=\{h+n(n+1)k^{2}sn^{2}x\}y$ (Lame's eq.)      C.85
Differential equations of second order, linear, $zy^{''}{}_{2x}+az_{y}y^{2}_{x}+f(y)=0$       Me.71
Differential equations of second order, linear, $\lambda\mu y^{''}+A\lambda y^{'}+B\mu y=0$ , $\mu y^{''}+A\lambda y^{'}+B\lambda\mu y=0,$ and $\mu y^{''}+A\lambda y^{'}+B\mu =0$ ; with $\lambda \equiv a+bx+cx^{2}$ and $\mu = b+2cx$       A.42
Differential equations of second order, linear, homogeneous      M.22
Differential equations of second order, linear, integration by Gauss's series      Z.19
Differential equations of second order, linear, Py''+Qy'+Ry=0      Ac.1
Differential equations of second order, linear, transformation of      An.52
Differential equations of second order, linear, with algebraic integrals      C.90 J.81 85 L.76
Differential equations of second order, linear, with doubly periodic coefficients      Ac.2
Differential equations of second order, linear, xy''+my'+nxy=0      L.45 78
Differential equations of second order, linear, xy''+y'+y(x+A)=0      Me.81 84
Differential equations of second order, linear, xy''=y      Z.2
Differential equations of second order, linear, y''+py'+ry=0      C.85 90 Q.19
Differential equations of second order, linear, y''=ax+by      3281
Differential equations of second order, linear, y''=f(x, y) (Jacobi)      3285
Differential equations of second order, linear, y''=f(y)      3257
Differential equations of second order, polynomials which verify      Ac.6
Differential equations of second order, solution by definite integrals      A.27
Differential equations of sources      AJ.75
Differential equations of third order      An.83 C.98 M.23
Differential equations of third order, linear      C.88 Q.7 8 14 M.24
Differential equations of third order, linear, $x^{2}y{'''}-y=0$       Z.8
Differential equations of third order, linear, $y^{'''}=3mx^{2}y^{''}+6m(\mu+2)xy^{'}+3m(\mu+2)(\mu+1)y$       A.42
Differential equations of third order, linear, $y^{'''}=x^{m}(Ax^{2}y^{''}+Bxy^{'}+Cy)$       A.58
Differential equations of third order, linear, $y^{'}=y^{'''}, u_{t}=u_{3x}$       C.3
Differential equations of third order, linear, y'=y'''      JP.15
Differential equations with algebraic integrals      J.84
Differential equations with complex variables      Mo.85
Differential equations with different. total integrals      L.84
Differential equations with fractional indices      JP.15
Differential equations with integrals "monochrome and monogene"      C.40
Differential equations with quadratic integrals      J.99
Differential equations, Abel's theorem      J.90
Differential equations, algebraic      An.79 C.86
Differential equations, ap. to engineering      JP.4
Differential equations, approximate solution      C.5
Differential equations, approximate solution, by equations of differences      L.37
Differential equations, approximate solution, by Taylor's theorem      3289
Differential equations, asymptotic methods      C.94 Q.5
Differential equations, Bessel's numerical solution      Z.25
Differential equations, Complete primitive      3163—3166 J.25
Differential equations, Complete primitive, no. of constants      CP.9
Differential equations, continuous and discontinuous integrals of      C.29
Differential equations, depression of order by unity      3262—3269
Differential equations, elliptic      G.19 M.21
Differential equations, elliptic multiplier      M.21
Differential equations, exact      3187 3270—3275 G.12 C.1 10 11
Differential equations, general methods      L.81
Differential equations, generation of      3150
Differential equations, geometrical meaning of      Q.14
Differential equations, homogeneous      3186 3234 3262—3268 C.13 CM.4 J.86
Differential equations, hyperelliptic      J.32 55 Mo.62
Differential equations, integrability of      Z.12
Differential equations, integrability of, immediate      C.82
Differential equations, integrating factors      pp468—471 3394 C.68 97
Differential equations, integrating factors of Pdx+Qdy+Rdz      Q.2
Differential equations, integration by Bessel's function      Me.80
Differential equations, integration by definite integrals      3617—3628 C.17 J.74
Differential equations, integration by differentials of any index      C.17 L.44
Differential equations, integration by elimination      CP.9
Differential equations, integration by elliptic functions      An.79 82 C.41 JP.21
Differential equations, integration by Gamma function      TE.20
Differential equations, integration by separation of operative symbols      Z.15
Differential equations, integration by series      3604—3616 C.10 94 LM.6 Me.79 Q.19 TI.7
Differential equations, integration by theta-functions      C.90
Differential equations, irreducibility of      J.92
Differential equations, isoperimeters, pr      Mem.50
Differential equations, linear      A.28 35 40 41 43 45 46 53 59 65 69 Ac.3 AJ.7 An.50 85 At.75 C.7 29 58 73 84 88 90 91 92 94 CD.3 4 9 CP.9 10 G.15 J.23 24 25 40 42 55 63 70 76 79 80 81 83 87 88 91 98 L.38 64 M.5 11 12 Me.75 P.48 50 51 Pr.5 18 19 20 Q.8 Z.3 7 9
Differential equations, linear, argument & parameter interchanged in the integral      J.78
Differential equations, linear, bibliography of      AJ.7
Differential equations, linear, determination of arbitrary constant      At.65 Q.19
Differential equations, linear, homogeneous      Ac.1 J.90 Mo.82
Differential equations, linear, integrating factors of      C.97 98
Differential equations, linear, integration by Abelian functions      C.92 J.73
Differential equations, linear, integration by finite differences      Q.1
Differential equations, linear, integration by series      J.76
Differential equations, linear, irreducibility of      J.76
Differential equations, linear, Landen's substitution, geo      J.91
Differential equations, linear, Malmsten's theorem      J.40
Differential equations, linear, n variables, 1st order      3320—3332 C.14 15 G.13 J.20 80 L.38
Differential equations, linear, n variables, 2nd order      L.37
Differential equations, linear, n variables, 2nd order, 2 variables      C.70
Differential equations, linear, n variables, any order      Mem.13
Differential equations, linear, Pdx+Qdy+Rdz=0, $P =(ax^{n}+bx^{n-1}+&c.)^{-\frac{2}{n}}$ , Q, R similarly with y and z      Q.20
Differential equations, linear, Pdx+Qdy+Rdz=0, P, Q, R involving x, y, z      3320 geoM.16 Z.20
Differential equations, linear, Pdx+Qdy+Rdz=0, P, Q, R, integral functions of x only      Q.19
Differential equations, linear, singular solution      J.73 83 84
Differential equations, linear, transformation of      C.91 96
Differential equations, linear, which admit of integrals whose logarithmic differentials are doubly periodic functions      L.78
Differential equations, linear, which connect a complete function of the 1st kind with the modulus      C.86
Differential equations, linear, whose particular integrals are the products of those of two given linear d.e.      A.41
Differential equations, linear, with algebraic integrals      C.96 97 J.80 90 M.21
Differential equations, linear, with coefficients that are algebraic functions of an independent variable      C.92 94
Differential equations, linear, with constant coefficients      3238—3250 An.64 CM.1 2 E.34 JP.33 L.42 N.47 84
Differential equations, linear, with doubly periodic coefficients      C.90 92 98 J.90
Differential equations, linear, with periodic coefficients      C.91 92
Differential equations, linear, with rational coefficients, algebraic integrals of      C.96 JP.32 34
Differential equations, linear, with rational coefficients, upon whose solution depends the quadrature of an irrational algebraic product      C.91 92
Differential equations, linear, with variable coefficients      C.92 J.66 68 76 L.80 81
Differential equations, linear, without absolute term, condition of solutions in common      C.95
Differential equations, linear, xdt+ydx+zdy+tdz=0      A.30
Differential equations, linear, Xdx+Ydy+Zdz+Tdt=0, condition of being an exact differential      3330
Differential equations, Parseval's theorem      3628
Differential equations, particular integrals of      CM.2
Differential equations, particular integrals of, algebraic      C.86
Differential equations, particular integrals of, relations of the constants      C.93 J.10 JP.6
Differential equations, relation between its constants and the constants of a particular solution      C.92
Differential equations, rule for equivalence of two solutions      3167
Differential equations, satisfied by the series $1\pm 2q+2q^{4}\pm 2q^{9}+&c.$ . $2\sqrt[4]{q}+2\sqrt[4]{q^{9}}+2\sqrt[4]{q^{25}}+&c.$       L.49 J.36
Differential equations, satisfying Gauss's function $F(\alpha, \beta, \gamma, x)$       L.82
Differential equations, simultaneous first order      3340—3349 C.43 J.48 Pr.62
Differential equations, simultaneous linear      3340—3359 AJ.4 C.9 92 E.5 N.66 84
Differential equations, simultaneous linear, $tx_{t}+2(x-y)=t$ and $ty_{t}+(x+5y)=t^{2}$       3349
Differential equations, simultaneous linear, $x_{t}+P(\alpha x+by)=Q$ and $y_{t}+P(cx+dy)=R$       3348
Differential equations, simultaneous linear, $\frac{dx}{P_{1}-xP}=\frac{dy}{P_{2}-yP}=\frac{dz}{P_{3}-zP}$       3347
Differential equations, simultaneous linear, $\frac{dx}{P}=\frac{dy}{Q}=\frac{dz}{R}$       Q.14
Differential equations, simultaneous linear, equations in $x, x_{2t}, x_{4t}, &c..y_{t}, y_{3t}, y_{5t}, &c.$       3357
Differential equations, simultaneous linear, homogeneous in x, y, z... and their second derivatives only      3358
Differential equations, simultaneous linear, Pfaff's method      C.14 J.2
Differential equations, simultaneous linear, transformation of      J.98
Differential equations, simultaneous system of      An.69 82 84 C.10 43 47 92 CM.1 LM.14 Me.13 80 Pr.12
Differential equations, simultaneous system of, $x_{2t}=ax+by$ and $y_{2t} = cx+dy$ and a similar example      3354

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