(a) Find the solution u(x,y)of Laplace’s equation in the rectangle 0 (b) Find the solution if g(x)=x,0≤x≤a/2,a−x,a/2≤x≤a. (c

Question

3 years ago

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(a) Find the solution u(x,y)of Laplace’s equation in the rectangle 0 (b) Find the solution if g(x)=x,0≤x≤a/2,a−x,a/2≤x≤a. (c

) Fora=3 and b=1, plot u versus x for several values of y and also plot u versus y for several values of x.
(d) Plot u versus both x and y in three dimensions. Also draw a contour plot showing several level curves of u(x,y)in the xy-plane.

Mathematics

1 answer:

madam [21] · Answer 1 · 2022-06-29T18:16:29+03:00

madam [21]3 years ago

7 0

Answer:

Workings and solution to this question can be viewed in the screenshots below: