Khan Academy Static

Method_of_undetermined_coefficients

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

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.