B- Use the separated solutions of the Laplace equation to find the solution to satisfying the boundary conditions u(x, y) = 0 at x = 0 and x = 1 (y ≥ 0), u(x,y) →0 as y → ∞(0 ≤x< 1), and u(x, y) = sin5 (πx) on y = 0 (0 ≤ x ≤ 1). (Note: the identity sin³ (0) = (sin(50) - 5sin(30) + 10sin(0)).) 1 16

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