Question: Find the solution to the heat conduction problem: 4ut = Uzz, 0x 2, t> 0 u(0, t) 0 u(2. t) = 0 u(x,0) =

Find the solution to the heat conduction problem: 4ut = Uzz, 0x

Find the solution to the heat conduction problem: 4ut = Uzz, 0x 2, t> 0 u(0, t) 0 u(2. t) = 0 u(x,0) = () - sin(x) + 4 sin(2x) = f(x) 2 sin

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Answer Solution We use separation of variables Let ux t XxTt Then 4u Ur becomes 4XrT t XzTt We divide both sides by XzTt to obtain where A is a constant What happens to the boundary conditions under t... View full answer

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