(5 marks) Solve PDE: ut = 4(urz + Uyy), (x,y) ER= [0, 3] x [0, 1], t > 0, BC: u(x, y, t) = 0 for t> 0 and (x, y) € ƏR, I

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(5 marks) Solve PDE: ut = 4(urz + Uyy), (x,y) ER= [0, 3] x [0, 1], t > 0, BC: u(x, y, t) = 0 for t> 0 and (x, y) € ƏR, I

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(5 marks) Solve PDE: ut = 4(urz + Uyy), (x,y) ER= [0, 3] x [0, 1], t > 0, BC: u(x, y, t) = 0 for t> 0 and (x, y) € ƏR, ICS: u(x, y,0) = 7 sin(3r) sin(4xy), (x, y) = R.
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