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## Homework Statement

Hello I am given the equation:

u

_{t}- 2u

_{xx}= u

I was given other equations (boundary, eigenvalue equations) but i don't think I need that to solve this first part:

The book says to get rid of the zeroth order term by substituting u = exp(t)V(x,t). I tried to but I can't find a way to get rid of the zeroth order term! Any help would be appreciated.