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## Homework Statement

If u

_{tt}- u

_{xx}= 1-x for 0<x<1, t>0

u(x,0) = x

^{2}(1-x) for 0≤x≤1

u

_{t}(x,)=0 for 0≤x≤1

u

_{x}(x,)=0

u(1,t)=0

find u(1/4,2)

## Homework Equations

## The Attempt at a Solution

I was thinking to make a judicious change of variables that not only converts the PDE to a homogenous PDE, but also makes the boundary conditions homogenous.

I am quite unsure how to even start this problem...