2. A rectangular F lines x=0, y=0,
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,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2fa946bf-faac-440b-977b-863495987ba7%2Ff02bb4da-281c-4aba-9752-5abffdde1e56%2Fr0q7sbg_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2fa946bf-faac-440b-977b-863495987ba7%2Ff02bb4da-281c-4aba-9752-5abffdde1e56%2Fn4p8brg_processed.jpeg&w=3840&q=75)
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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