Same task as in Prob. 19 when w = x 2 + y 2 and C the
Question:
Same task as in Prob. 19 when w = x2 + y2 and C the boundary curve of the triangle with vertices (0, 0), (1, 0), (0, 1).
Data from Prob. 19
Show that w = ex sin y satisfies Laplace’s equation ∇2w = 0 and, using (12), integrate w(∂w/∂n) counterclockwise around the boundary curve C of the rectangle 0 ≤ x ≤ 2, 0 ≤ y ≤ 5.
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The integrand on the left is grad w 2 4x 2 y 2 Inte...View the full answer
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