How to Solve a Wave Equation?

The easiest way is separation of variables, which we're not going to talk about today. The harder way gives you more intuition onto the harder way of solving it. You can treat your differential equation as an operator onto a function. So for example, u t t minus C squared u x x can be written as the differential operator of the second time derivative minus C squared times the second x derivative, acting on u. Right. That will be you.That was pretty good. Going into wave equation, because wave equation is really cool. It doesn't even have to be like real waves, right? It can be square waves or any type of shape.