Question

which is the suitable solution of the two dimensional heat equation is y direction​

Answer 1

Answer:

∇2 u = 0, 0 < x < a, 0 < y < b, u(x,0) = 0, u(x,b) = f2(x), 0 < x < a, u(0,y) = u(a,y)=0, 0 < y < b. f2(x) sin nπ a x dx. Remarks: As we have noted previously: We have not proven this solution is unique.

Explanation:

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