Hello, boys .

In my home work is to solve these 3 equations , and a textual problem , but the second day I can not solve them. My professor said that these tasks are very easy, I just need to better analyze, but I think he has a good sense of humor.

1. Find a nontrivial solution of differential equation .

2. Solve the differential equation .

3. Using Laplace transform, solve the differential equation if and .

Please help me.