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Answer to Question #76002 in Differential Equations for Kapil Gupta
Question #76002
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
∂^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
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