Page 14 - Schaum's Outline of Differential Equations
P. 14
CONTENTS Xlll
Solutions Around the Origin of Nonhomogeneous Equations 263
Initial-Value Problems 264
Solutions Around Other Points 264
Chapter 28 Series Solutions Near a Regular Singular Point 275
Regular Singular Points 275
Method of Frobenius 275
General Solution 276
Chapter 29 Some Classical Different Equations 290
Classical Differential Equations 290
Polynomial Solutions and Associated Concepts 290
Chapter 30 Gamma and Bessel Functions 295
Gamma Function 295
Bessel Functions 295
Algebraic Operations on Infinite Series 296
Chapter 31 An Introduction to Partial
Differential Equations 304
Introductory Concepts 304
Solutions and Solution Techniques 305
Chapter 32 Second-Order Boundary-Value Problems 309
Standard Form 309
Solutions 310
Eigenvalue Problems 310
Sturm-Liouville Problems 310
Properties of Sturm-Liouville Problems 310
Chapter 33 Eigenfunction Expansions 318
Piecewise Smooth Functions 318
Fourier Sine Series 319
Fourier Cosine Series 319
Chapter 34 An Introduction to Difference Equations 325
Introduction 325
Classifications 325
Solutions 326
APPENDIX A Laplace Transforms 330
