- #1

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## Homework Statement

Solve:

U

_{t}=kU

_{xx}

U(x,0)=e^3x

## Homework Equations

The Heat Equation:

## 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.