Page 11 - Schaum's Outline of Differential Equations
P. 11
X CONTENTS
Chapter 7 Applications of First-Order Differential
Equations 50
Growth and Decay Problems 50
Temperature Problems 50
Falling Body Problems 51
Dilution Problems 52
Electrical Circuits 52
Orthogonal Trajectories 53
Chapter 8 Linear Differential Equations: Theory of
Solutions 73
Linear Differential Equations 73
Linearly Independent Solutions 74
The Wronskian 74
Nonhomogeneous Equations 74
Chapter 9 Second-Order Linear Homogeneous Differential
Equations with Constant Coefficients 83
Introductory Remark 83
The Characteristic Equation 83
The General Solution 84
Chapter 10 nth-Order Linear Homogeneous Differential
Equations with Constant Coefficients 89
The Characteristic Equation 89
The General Solution 90
Chapter 11 The Method of Undetermined Coefficients 94
Simple Form of the Method 94
Generalizations 95
Modifications 95
Limitations of the Method 95
Chapter 12 Variation of Parameters 103
The Method 103
Scope of the Method 104
Chapter 13 Initial-Value Problems for Linear
Differential Equations 110
