Homogeneous DEs with constant coefficients - a double root
Channel: MatheMagician
Date: 2024-03-08

We can try to solve a homegeneous second order linear differential equation with the ansatz y(x)=e^(rx). This yields the characteristic equation for r. But  what happens if the discriminant D equals zero: in that case we have only one solution, and we need two independent solutions. You will learn how to deal with the D equals zero case in this video.