The function u(x, y) obeys, 8²u Ərəy = -2e

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The function z(x, y) obeys,
8²u
= -2e-²
Ərəy
Which of the follow represents a valid first step for finding u(x, y)?
of-2e dx = -2e¯²y+C(y) of-2e²dy = -2eyf-2e dy = 2e " + C(y)
of-2e-dy=-2e-2y+C(x) -2e-²dr = 2e-²
Of-2e²dx = 2e-* + C(y)
Which of the following represents the most general solution for u(x, y)?
O 2e x + A(x) + B(y) O 2e-2y+ A(x) + B(y) O 2e-2y+A(x)B(y)
○ 2e y
Transcribed Image Text:The function z(x, y) obeys, 8²u = -2e-² Ərəy Which of the follow represents a valid first step for finding u(x, y)? of-2e dx = -2e¯²y+C(y) of-2e²dy = -2eyf-2e dy = 2e " + C(y) of-2e-dy=-2e-2y+C(x) -2e-²dr = 2e-² Of-2e²dx = 2e-* + C(y) Which of the following represents the most general solution for u(x, y)? O 2e x + A(x) + B(y) O 2e-2y+ A(x) + B(y) O 2e-2y+A(x)B(y) ○ 2e y
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