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(PDE) WRITE down the solutions to the ff initial boundary problem for wave equation in the...

(PDE)

WRITE down the solutions to the ff initial boundary problem for wave equation in the form of Fourier series :

1. Utt = Uxx ; u( t,0) = u(t,phi) = 0 ; u(0,x)=1 , Ut( (0,x) = 0

2. Utt = 4Uxx ; u( t,0) = u(t,1) = 0 ; u(0,x)=x , Ut( (0,x) = -x

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