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## Homework Statement

Find the solution of:

u

_{tt}-u

_{xx}= sin(∏x) for 0<x<1

u(x,0)=0 for 0<=x<=1

u

_{t}(x,0)=0 for 0<=x<=1

u(0,t)=0

u(1,t)=0

## Homework Equations

u

_{tt}-u

_{xx}= sin(∏x) for 0<x<1

u(x,0)=0 for 0≤x≤1

u

_{t}(x,0)=0 for 0≤x≤1

u(0,t)=0

u(1,t)=0

## The Attempt at a Solution

I was thinking that I would need to somehow make a change of variables, converting the PDE to a homogenous PDE and continuing from there. I don't really know how I can do this or solve it at all without some assistance!