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Поиск по указателям |
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Ayres F. — Schaum's Outline of Theory and Problems of Differential Equations |
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Предметный указатель |
Applications, geometric 41 75 133 178
Applications, physical 49 133 178
Approximation, numerical 186
Arbitrary constant 1 78 231
Arbitrary function 232
Auxiliary system 239
Beams 134
Bernoulli’s equation 35
Bessel equation 222
Bessel functions 222
C-discriminant 69
Cauchy linear equation 108
Characteristic equation, complex roots 83
Characteristic equation, distinct real roots 83
Characteristic equation, repeated roots 83
Charpit’s method 247
Clairaut equation 62
Complementary function 79 257 266
Complete solution of ordinary differential equation 79
Complete solution of partial differential equation 240 244
Conditions for exactness 24 165
Conditions for integrability 164
Conditions for linear independence 78
Damping factor 134
Differential equation non-homogeneous, partial, irreducible 268
Differential equation non-homogeneous, partial, reducible 265
Differential equation non-linear partial 244 280
Differential equation numerical solution 186
Differential equation partial, first order 238
Differential equation partial, higher order, constant coefficients 255 265
Differential equation partial, higher order, variable coefficients 276
Differential equation solution in series 197
Differential equation total 164
Differential equation, Bernoulli 35
Differential equation, Bessel 222
Differential equation, Clairaut 62
Differential equation, exact 12 24 123
Differential equation, extended Clairaut 246
Differential equation, first order, first degree 12 24 35
Differential equation, first order, higher degree 61
Differential equation, Gauss 223
Differential equation, homogeneous ordinary 15 78 82
Differential equation, homogeneous partial 255
Differential equation, Legendre 220
Differential equation, Legendre linear 108
Differential equation, linear of order n 78 123
Differential equation, linear of order one 13 35
Differential equation, linear of order two 111
Differential equation, linear, partial, first order 238
Differential equation, linear, partial, higher order 276
Differential equation, systems of 157
Direction field 8
Electric circuits 57 136
exact equations 12 24 123
Existence theorem 7
Extended Clairaut equation 246
Extraneous loci 68
First derivative method 187
Functions, Bessel 222
Functions, complementary 79 257 266
Functions, homogeneous 15
Gauss equation 223
General solution of ordinary differential equation 7
General solution of partial differential equation 238 256 265
Harmonic motion 134
Homogeneous equation 15
| Homogeneous function 15
Homogeneous linear equation 78 82 255
Hooke’s law 55
Hypergeometric series 223
Indicial equation 208
Infinite series 197
Integral curve 7
Integrating factor 12 24
Intermediate integral 280
Kutta’s Simpson’s method 188
Lagrange system 239
Laplace’s transformation 278
Legendre equation 220
Legendre linear equation 108
Legendre polynomial 221
Linear ordinary differential equation of order n 78
Linear ordinary differential equation of order one 13 35
Linear ordinary differential equation with known particular integral 123
Linear partial differential equation 238 276
Loci, extraneous 68
Monge’s method 280
Newton’s Law of Cooling 51
Newton’s second law of motion 49
Non-homogeneous linear partial differential equation, irreducible 268
Non-homogeneous linear partial differential equation, reducible 265
Non-linear partial differential equation 244 280
Operators, factorization of operators 112
Order of differential equation 1
Order, reduction of 122
Origin of ordinary differential equation 1
Origin of partial differential equation 231
Orthogonal trajectories 43
p-discriminant 69
Parameters, variation of 93
Partial differential equations 1 231
Partial fractions, method of 88
Particular integral 79 257 266
Particular solution 7
Picard’s method 186
primitive 1
Recursion formula 198
Reduction of order 122
Regular singular point 206
Runge’s method 188
Separation of variable 15
Series Taylor 187
Series, hypergeometric 223
Series, solution in 197
Short methods ordinary differential equation 99
Short methods partial differential equation 266
Simultaneous equations 157
Singular point 199
Singular solution 7 67 244
Solutions in series 197
Solutions, complete 79 240 244
Solutions, general 7 238
Solutions, particular 7
Solutions, singular 7 67 244
springs 140
Systems of equations 157
Taylor series 187
Total differential equation 164
Trajectories 43
Undetermined coefficients, method of 9
Variables separable 13 15
Variation of parameters 93
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