4. Find the harmonic function in the square {0 < x < 1, 0 < y < 1} with the boundary conditions u(x, 0) = x, u(x, 1) = 0, ux(0, y) = 0, Ux(1, y) = y².
4. Find the harmonic function in the square {0 < x < 1, 0 < y < 1} with the boundary conditions u(x, 0) = x, u(x, 1) = 0, ux(0, y) = 0, Ux(1, y) = y².
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Transcribed Image Text:4. Find the harmonic function in the square {0 < x < 1, 0 < y < 1} with the
boundary conditions u(x, 0) = x, u(x, 1) = 0, ux(0, y) = 0, Ux(1, y) = y².
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