Using the Laplace transform method, solve:
PDE: 𝑈𝑡 = 3𝑈𝑥𝑥
Boundary condition (BC): 𝑢 (𝜋
2
, 𝑡) = 0; 𝑈𝑥(0,𝑡) = 0
Initial conditions (IC): 𝑢(𝑥, 0) = 30𝑐𝑜𝑠5𝑥
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Using the Laplace transform method, solve:
PDE: 𝑈𝑡 = 3𝑈𝑥𝑥
Boundary condition (BC): 𝑢 (𝜋
2
, 𝑡) = 0; 𝑈𝑥(0,𝑡) = 0
Initial conditions (IC): 𝑢(𝑥, 0) = 30𝑐𝑜𝑠5𝑥
MathBot Answer:
MathBot is working on a solution to your problem.