Homogeneous DEs with constant coefficients - complex roots
Channel: MatheMagician
Date: 2018-02-26

We learnt how to solve homogeneous second order linear differential equations for D zero and D positive, but what about D negative? In that case you get complex roots of your charecteristic equation. If you would put them blindly in your exponent, you would get complex solutions - and that is not what we want: we are looking for real solutions. So how do we deal with this case? That is what you will learn in this video.