Solve the following Heat Equation in cylindrical coor- dinates. u depends on p and t only. 1 U = Upp +-Up, P 00 u(1, t) = 0, u(p,0) = 1 - p²

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Chapter2: Second-order Linear Odes
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Solve the following Heat Equation in cylindrical coor-
dinates. u depends on p and t only.
1
U = Upp + -Up, 0<p<1, t> 0
u(1, t) = 0, u(p, 0) = 1- p
%3D
Transcribed Image Text:Solve the following Heat Equation in cylindrical coor- dinates. u depends on p and t only. 1 U = Upp + -Up, 0<p<1, t> 0 u(1, t) = 0, u(p, 0) = 1- p %3D
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