- #1

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## Homework Statement

Solve the heat equation: [tex]u_{t} = u_{xx} - u - x*e^{-t}[/tex]

BC: u(0,t) = 0, u(1,t) = 0

IC: u(x,0) = x

## Homework Equations

## The Attempt at a Solution

The only progress I've made so far is figuring out that the steady state solution is zero. Other than that I don't know where to start with the time dependent solution. Basically I could use some help starting this problem, thanks!