2 (5 marks) Solve PDE: = 4(x + y), (r.y) ER= [0, 3] x [0, 1],t> 0, BC: u(x, y, t)=0 for t> 0 and (z. y) € OR, ICs: u(r,
Posted: Mon Jul 11, 2022 12:02 pm
2 (5 marks) Solve PDE: = 4(x + y), (r.y) ER= [0, 3] x [0, 1],t> 0, BC: u(x, y, t)=0 for t> 0 and (z. y) € OR, ICs: u(r, y,0) = 7 sin(3r) sin(4xy), (x, y) = R. 3 (5 marks) Find the polynomial solution of the Laplace's equation us + Uyy within - 0