Main results for Chapter 3
 
 

Results
Homogeneous
constant coefficients
Homogeneous
Non constant coefficients
Non homogeneous, constant coefficients
Non homogeneous,non constant coefficients
Sections in your book, and remarks
Method of the characteristic equation
Real roots: 3.1
Complex roots: 3.3
Repeated roots: 3.4
Principle of superposition
3.2
Existence and uniqueness Theorem
3.2
Wronskian and fundamental set of solutions
3.2
Abel's Theorem
3.2
Method of reduction of order
3.4
Method of Undetermined coefficients
3.5. Only for specific functions g(x).
Method of variation of parameters
3.6. Need a fundamental set of solutions of the corresponding homogeneous equation.
 
Applies for that type of differential equations
Does not apply for that type of differential equations
Copyright 2012-2015, Dr. Fanny Dos Reis