# Math 394 - Problem sheet

#### Wednesday, September 16

We’re going to practice a couple of problems in groups today. Most of these will help get you ready for the HW that’s due next Monday and the last one will help pave the way for what’s coming next week.

You should solve these problems together and I’ll jump around and see how you’re doing.

### The problems

Find the general solution of *y*″ + 2*y*′ + 5*y* = 25*t*.

Discuss in the context of damped and increasingly driven harmonic oscillator.

Find three, linear independent functions - each of which is its own third derivative.