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...


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2. A rectangular plate is bounded by the<br>lines x=0, y=0, x = 3, y=2. Determine the<br>potential distribution u(x, y) over the rec-<br>tangle using the Laplace equation<br>и<br>+<br>=0, subject to the following<br>ax2<br>boundary conditions:<br>и(0, у) — 0<br>и(3, у) — 0<br>и(х, 2) — 0<br>и(х,0) — х(3 — х) 0<x<3<br>ду?<br>0<y<2,<br>0<y<2,<br>0<x<3,<br>

Extracted 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<><3 ду?=""><><2,><><2,><><>
1. A rectangular plate is bounded by the<br>lines x=0, y=0, x=1 and y=3. Apply the<br>a?u a?u<br>Laplace equation<br>=0 to deter-<br>ax2<br>mine the potential distribution u(x, y) over<br>the plate, subject to the following boundary<br>conditions:<br>u=0 when x=0 0<y<2,<br>u=0 when x=1 0<y<2,<br>u=0 when y=2 0<x<1,<br>u =5 when y =3 0<x<1<br>

Extracted 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<><2, u="0" when="" x="1"><><2, u="0" when="" y="2"><><1, u="5" when="" y="3"><><>

Jun 05, 2022
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