Use method of characteristics to find the solution of { - 6xux(x, y)-3uy(x, y) = 0, y > 0, −∞ < x < ∞, u(x, 0) = sin(x), y = 0, -∞< x < ∞.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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a) Use method of characteristics to find the solution of
6xux(x, y) - 3uy(x, y) = 0, y > 0, −∞< x < ∞,
u(x, 0) = sin(x),
y = 0, x < x < ∞.
Transcribed Image Text:a) Use method of characteristics to find the solution of 6xux(x, y) - 3uy(x, y) = 0, y > 0, −∞< x < ∞, u(x, 0) = sin(x), y = 0, x < x < ∞.
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