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2. A rectangular F lines x=0, y=0,

2. A rectangular F lines x=0, y=0,

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Help me solve the two questions in the images please

2. A rectangular plate is bounded by the lines x=0, y=0, x = 3, y=2. Determine the potential distribution u(x, y) over the rec- tangle using the Laplace equation и + =0, subject to the following ax2 boundary conditions: и(0, у) — 0 и(3, у) — 0 и(х, 2) — 0 и(х,0) — х(3 — х) 0<x<3 ду? 0<y<2, 0<y<2, 0<x<3,
Transcribed Image Text:2. A rectangular plate is bounded by the lines x=0, y=0, x = 3, y=2. Determine the potential distribution u(x, y) over the rec- tangle using the Laplace equation и + =0, subject to the following ax2 boundary conditions: и(0, у) — 0 и(3, у) — 0 и(х, 2) — 0 и(х,0) — х(3 — х) 0<x<3 ду? 0<y<2, 0<y<2, 0<x<3,
1. A rectangular plate is bounded by the lines x=0, y=0, x=1 and y=3. Apply the a?u a?u Laplace equation =0 to deter- ax2 mine the potential distribution u(x, y) over the plate, subject to the following boundary conditions: u=0 when x=0 0<y<2, u=0 when x=1 0<y<2, u=0 when y=2 0<x<1, u =5 when y =3 0<x<1
Transcribed Image Text:1. A rectangular plate is bounded by the lines x=0, y=0, x=1 and y=3. Apply the a?u a?u Laplace equation =0 to deter- ax2 mine the potential distribution u(x, y) over the plate, subject to the following boundary conditions: u=0 when x=0 0<y<2, u=0 when x=1 0<y<2, u=0 when y=2 0<x<1, u =5 when y =3 0<x<1
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