Differential Equations

 

 !!! Laplace Table !!!

 !!! Midterm Exam !!!

Chapter Subchapter Exercises
1. Introduction Classification of Differential Equations
2. First Order Differential Equations

2. Solved Problems

Linear Equations  Linear_Ex
Seperable Equations  Seperable_Ex
Exact Equations  Exact_Ex
Bernoulli Equations  Bernoulli_Ex
Homogeneous Equations  Homogeneous_Ex
3. Second Order Differential Equations 3.1  Homogeneous Equations with Constant Coefficients 1-18 ;  Answers
3.2  Solutions of Linear Homogeneous Equations; the Wronskian 1-6, 17-20 ;  Answers
3.3  Complex Roots of the Characteristic Equation 7-22 ;  Answers
3.4  Repeated Roots; Reduction of Order 1-14, 23-30 ;  Answers
3.5  Nonhomogeneous Equations; Method of Undetermined Coefficients 1-20 ;  Answers
3.6  Variation of Parameters 1-17 ;  Answers
4. Higher Order Differential Equations 4.1  General Theory of nth Order Linear Equations 7-17 ;  Answers
4.2  Homogeneous Equations with Constant Coefficients 11-24 ;  Answers
4.3  The Method of Undetermined Coefficients 1-18 ;  Answers
4.4  The Method of Variation of Parameters
6. The Laplace Transform 6.1  Definition of the Laplace Transform  6.1
6.2  Solution of Initial Value Problems 1-23 ;  Answers
6.3  Step Functions
6.4  Diffrential Equations with Discontinuous Forcing Functions

 

Resources:

Elementary Differential Equations, 10th Edition – William E. Boyce

Paul’s Online Math Notes

Schaum’s Outline of Differential Equations, Richard Bronson & Gabriel Costa