Answer to Question #76002 in Differential Equations for Kapil Gupta

Question

Obtain a solution of the wave equation
∂^2u(x,t)/∂t^2=16(∂^2u(x,t)/∂x^2)

for 0≤ x ≤ π and t > ,0 and the following boundary and initial conditions:
u(0,t)=u(Ï€,t)=0,
u(x,0)=x(π-x) and ∂u(x,0)/∂t=0