P4.20 Solve the following heat conduction problem using Fourier method: 25 a'dx.t) _ adx.t). :00 at Given: Boundary conditions: (0, t) = 0 and ø(9, t) = 0. 3TX 12 sin TX and Initial condition: x, 0)= 25sin w/ + 45sin

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Chapter2: Second-order Linear Odes
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P4.20
Solve the following heat conduction problem using Fourier method:
25
a'dx.t) _ adx.t).
:0 <x< 9; t> 0
at
Given: Boundary conditions: 0(0, t) = O and ø(9, t) = 0.
and Inital condition: A(«. 0) = 2an + 45ain( ) - 12sin).
3TX
12 sin
TX
+ 45sin
Transcribed Image Text:P4.20 Solve the following heat conduction problem using Fourier method: 25 a'dx.t) _ adx.t). :0 <x< 9; t> 0 at Given: Boundary conditions: 0(0, t) = O and ø(9, t) = 0. and Inital condition: A(«. 0) = 2an + 45ain( ) - 12sin). 3TX 12 sin TX + 45sin
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