Find a formal solution to the Wave equation subject to these conditions. Show all the work: separation of variable, finding the eigenvalues, finding the eigenfunctions, and so on. 00 Ut=Uzz u(0, 1) = 0, u(,1)=0, 120; u(x,0) = sin³ r, 0≤x≤T ut(t,0)=sin(2x), 0≤x≤

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Find a formal solution to the Wave equation subject to these conditions. Show all the work: separation of
variable, finding the eigenvalues, finding the eigenfunctions, and so on.
0<x<π, t>0
UttUzz,
u(0, 1) = 0,
u(,1)=0, 1> 0;
u(x,0) = sin³ x, 0≤x≤T
ut(t,0) = sin(2x), 0≤x≤ π
Transcribed Image Text:Find a formal solution to the Wave equation subject to these conditions. Show all the work: separation of variable, finding the eigenvalues, finding the eigenfunctions, and so on. 0<x<π, t>0 UttUzz, u(0, 1) = 0, u(,1)=0, 1> 0; u(x,0) = sin³ x, 0≤x≤T ut(t,0) = sin(2x), 0≤x≤ π
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