# Solve an IVP

1. Sep 21, 2009

### squenshl

I had to solve an IVP:
$$\partial$$/$$u\partial$$t + 4$$\partial$$u/$$\partial$$x = e2x, u(x,0) = f(x).
I got an answer of u = 1/2 +f(x-4t).
Is this correct and if not, where did I go wrong.

2. Sep 22, 2009

### LCKurtz

Re: Ivp

Hard to tell where you went wrong without seeing your work. But it isn't correct for at least two reasons:

1. It doesn't satisfy u(x,0) = f(x) (although it would without the 1/2).
2. If you plug it into the DE you get 0, not e(2x).