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 < ∞.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 1YT
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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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