## FANDOM

17 Pages

A linear second order differential equation involves a function, and it's first and second derivative. It can be written as

${A(x)y''+B(x)y'+C(x)y = D(x)}$

One important note: Linear combinations of solutions to a linear homogeneous differential equations are also solutions.

## Linear

### Homogeneous equations

Reducible
Characteristic Equation

### Non-homogeneous equations

Undetermined Coefficients
Variation of Parameters