# Second order linear equations

Contents

Linear differential equations that contain second derivatives

## Linear homogeneous equations

To make your life interesting, we'll now use the word "homogeneous" in a way that is not connected to the way we used the term when talking about first-order equations. As you'll see, second order linear homogeneous equations can be solved with a little bit of algebra (and a lot of love).

## Complex and repeated roots of characteristic equation

Thinking about what happens when you have complex or repeated roots for your characteristic equation.

## Method of undetermined coefficients

Now we can apply some of our second order linear differential equations skills to nonhomogeneous equations. Yay!