Answer to Question #78896 in Differential Equations for santhosh

Question #78896

Obtain a solution of the wave equation
D2u(x,t)/dt2 = 16*d2u(x,t)/ dx2
For 0<= x<= π and t>0, and the following boundary and initial conditions:
U(0,t)=u(π,t)=0,
U(x,0)=x(π-x) and du(x,0)/dt =0

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