use the method of separation of variables to solve the following nonhomogeneous initial-Neumann problem: Hint: write the

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use the method of separation of variables to solve the following nonhomogeneous initial-Neumann problem:

$left{begin{matrix} u_{t}-u_{xx}=tx & 0<x<L,t>0 u(x,0=1)&0leq xleq L u _{x}(0,t)=u_x(L,t)=0{_{}}&t>0 end{matrix}ight.$

Hint: write the candidate solution as ?are the eigenfunctionsof the eigenvalue problem associated with the homogeneous equation.

Posted Date: Dec 04, 2021 08:46 AM

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use the method of separation of variables to solve the following nonhomogeneous initial-Neumann problem: Hint: write the

Question:

0 < x < L,t > 0 0 < x < L Urr = tx u(x, 0 = 1) Uz (0, t) = u(L, t) = 0 t >0 0 < x < L,t > 0 0 < x < L Urr = tx u(x, 0 = 1) Uz (0, t) = u(L, t) = 0 t >0

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