Content:
Front Matter, Page iii
Copyright, Page iv
Preface, Pages ix-x
SECTION 1 - Classification and Solutions of First-Order Differential Equations, Pages 3-13
SECTION 2 - Elementary Higher-Order Differential Equations, Pages 14-25
SECTION 3 - Existence Theorems, Pages 26-49
SECTION 4 - Singular Solutions, Pages 50-53
SECTION 5 - Linear Equations of Arbitrary Order, Pages 54-60
SECTION 6 - Solutions of Linear Equations, Pages 61-79
SECTION 7 - Linear Systems with Constant Coefficients, Pages 80-97
SECTION 8 - Infinite Series Solutions, Pages 98-131
SECTION 9 - Asymptotic Expansion of Solutions of Linear Differential Equations, Pages 132-145
SECTION 10 - Solutions of Differential Equations by Definite Integrals, Pages 146-153
SECTION 11 - Boundary Value Problems, Pages 154-183
SECTION 12 - Green's Function, Pages 184-198
SECTION 13 - Expansion Theorems, Pages 199-217
SECTION 14 - Nonlinear Differential Equations, Pages 218-250
SECTION 1 - Introduction, Pages 253-267
SECTION 2 - Elementary Second-Order Partial Differential Equations, Pages 268-296
SECTION 3 - Second-Order Hyperbolic Differential Equations, Pages 297-335
SECTION 4 - Second-Order Elliptic Differential Equations, Pages 336-357
SECTION 5 - Second-Order Parabolic Differential Equations, Pages 358-373
SECTION 6 - The Fourier Transform and Its Applications to Partial Differential Equations, Pages 374-400
SECTION 7 - Hilbert Space Approach to Partial Differential Equations, Pages 401-421
SECTION 8 - Distributions and Their Applications to Partial Differential Equations, Pages 422-471
Index, Pages 473-477