Recently, in my differential equations class, we learned how to use laplace transforms to solve for differential equations. We had learned to solve similar equations using characteristic equations and yp and yc techniques. Laplace transforms seems like such an easier method, and I don't know where using characteristic equations would be better. Basically, is there any use in learning characterist equations in the first place? Forgive me if I'm saying something wrong, I'm not great with the terminology unfortunately.