Question: Same task as in Prob. 19 when w = x 2 + y 2 and C the boundary curve of the triangle with vertices (0,

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 = e^xsin 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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