1. The problem statement, all variables and given/known data Solve: Ut=kUxx U(x,0)=e^3x 2. Relevant equations The Heat Equation: 3. The attempt at a solution g(y) in the heat equation for this problem is e^3y. I'm having serious trouble solving this because my professor hasn't taught us the method, and it isn't in the book. I've considered trying a change of variables by taking z=x-y, but this has led me to nowhere. I am lost, and I am not just fishing for a result. I actually want to know how to solve this damn thing. There's a few pages worth of **** in my notebook, and now I need some guidance. Thank you for your time.