Question

Obtain the solution of the wave equation ∂^2u/∂t^2=c^2(∂^2u/∂x^2);0⩽x⩽π,t≥0 with the conditions u(0,t)=0,u(π,t)=0,u(x,0)=0 and ut(x,0)=sin3x+1/2(sin5x).