Asked by Thomas
Find the solution u(x,t) for the wave problem on a string of length L=π, with c^2=1 and conditions given by:
u(0,t)=0, u(π,t)=0, t>0
u(x,0)=0, ∂u/∂t_(t=0)=sinx, 0<x<π
u(0,t)=0, u(π,t)=0, t>0
u(x,0)=0, ∂u/∂t_(t=0)=sinx, 0<x<π
Answers
oobleck
well, if u(x,t) = cos(kx-wt) then
∂u/∂t = w sin(kx-wt)
see what you can do with that.
∂u/∂t = w sin(kx-wt)
see what you can do with that.