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

Transcribed Image Text:

Find the solution to the heat conduction problem: 4ut = Uzz, 0≤x≤ 2, t> 0 u(0, t) 0 u(2. t) = 0 u(x,0) = ¹() - sin(x) + 4 sin(2x) = f(x) 2 sin Find the solution to the heat conduction problem: 4ut = Uzz, 0≤x≤ 2, t> 0 u(0, t) 0 u(2. t) = 0 u(x,0) = ¹() - sin(x) + 4 sin(2x) = f(x) 2 sin

Answer rating: 100% (QA)

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 the full answer