Differential Equations (Schaum'S Easy Outlines

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differential equations schaum

Pages from Mcgraw-Hill - Differential Equations (Schaum'S Easy Outlines) - 2003


Contents
v
Chapter 1 Basic Concepts and Classifying
Differential Equations 1
Chapter 2 Solutions of First-Order
Differential Equations 8
Chapter 3 Applications of First-Order
Differential Equations 20
Chapter 4 Linear Differential Equations:
Theory of Solutions 29
Chapter 5 Solutions of Linear Homogeneous
Differential Equations with
Constant Coefficients 33
Chapter 6 Solutions of Linear
Nonhomogeneous Equations
and Initial-Value Problems 39
Chapter 7 Applications of Second-Order
Linear Differential Equations 47
Chapter 8 Laplace Transforms and Inverse
Laplace Transforms 55
Chapter 9 Solutions by Laplace Transforms 65
Chapter 10 Matrices and the Matrix
Exponential 69
Chapter 11 Solutions of Linear Differential
Equations with Constant
Coefficients by Matrix Methods 78
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Chapter 12 Power Series Solutions 85
Chapter 13 Gamma and Bessel Functions 98
Chapter 14 Numerical Methods 104
Chapter 15 Boundary-Value Problems
and Fourier Series 115
Appendix Laplace Transforms 124
Index 133
vi DIFFERENTIALEQUA TIONS