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Sinusoidal Initial Temperature problem

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Sean Rotmansky
Sean Rotmansky 2023-12-19
关闭： John D'Errico 2023-12-19
don't know where to begin with this question:
Find the temperature u(x,t) in an insulated copper bar 80 cm long if the initial temperature is 100sin(πx/80)∘ C and the ends are kept at 0C. density of copper: 8.92 g/cm3. specific heat: 0.092cal/(g∘C), and thermal conductivity: 0.95cal/(cm.sec∘.∘ C).
in Advanced Engineering Methods textbook 10th edition, section 12.6, example 1. The solution is:
u(x, t) = 100*sin(pi*x/80)*e^(-0.001785t)
I need to create code to find the solution and then plot it. Honestly any help is appreciated.

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