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Question: Partial differential equation

Question:Partial differential equation

tbedal 15 Maple 18
November 14 2014
1

hello . i have a Partial differential equation i need some help with 

 

This is how it goes 

((d^2)*u)/d*x^2)=u+(d*u)/(d*t)

with  boundary conditions u(0,t)=u(Pi,t)=0

starting boundary conditions is u(x,0)=Pi-x/2

What is u(x,t) with seperation of the variable? 
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