Question

Solve the BVP for the wave equation ∂^2u/∂t^2(x,t)=∂^2u/∂x^2(x,t),  0 < x < pi, t > 0 u(0,t)=0,...

Solve the BVP for the wave equation

∂^2u/∂t^2(x,t)=∂^2u/∂x^2(x,t),  0 < x < pi, t > 0

u(0,t)=0, u(pi,t)=0,  ? > 0, u(0,t)=0,  u(pi,t)=0,  t>0,

u(x,0)= sin(x)cos(x), ut(x,0)=sin(x), 0 < x < pi

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