Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus playlist before starting here.Community Questions
Second order linear equations
Linear differential equations that contain second derivatives
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).
Thinking about what happens when you have complex or repeated roots for your characteristic equation.