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3. Solve the Laplace's equation = 0 dx2 dy? d22 in a three dimensional box 0 < x < L, 0 < y < H, 0 < z < G subject to the boundary conditions u(0, y, z) = 0, u(x,0, 2) = 0, u(x, y, 0) = 0, ди (L, y, z) = 0, u(x, H, z) = 0, u(x, y, G) = 0.

3. Solve the Laplace's equation = 0 dx2 dy? d22 in a three dimensional box 0 < x < L, 0 < y < H, 0 < z < G subject to the boundary conditions u(0, y, z) = 0, u(x,0, 2) = 0, u(x, y, 0) = 0, ди (L, y, z) = 0, u(x, H, z) = 0, u(x, y, G) = 0.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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3. Solve the Laplace's equation dy? = 0 dz2 in a three dimensional box 0 < x < L, 0 < y < H, 0 < z < G subject to the boundary conditions u(0, y, 2) = 0, u(x,0, 2) = 0, u(x, y, 0) = 0, ди (L, y, z) = 0, u(x, H, 2) = 0, u(x, y, G) = 0.
Transcribed Image Text:3. Solve the Laplace's equation dy? = 0 dz2 in a three dimensional box 0 < x < L, 0 < y < H, 0 < z < G subject to the boundary conditions u(0, y, 2) = 0, u(x,0, 2) = 0, u(x, y, 0) = 0, ди (L, y, z) = 0, u(x, H, 2) = 0, u(x, y, G) = 0.
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