coordinates to solve the initial val -x² Ut +2ux = 1, u(0,x) = e¯ stic curves for Ut + xux = 0 ut = ion to ut + xux sint, u(0, x) = f(x
coordinates to solve the initial val -x² Ut +2ux = 1, u(0,x) = e¯ stic curves for Ut + xux = 0 ut = ion to ut + xux sint, u(0, x) = f(x
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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Transcribed Image Text:1.
(a) Use characteristic coordinates to solve the initial value problem
Ut +2ux = 1, (0, x) = e¯x²
(b) Find the characteristic curves for
(c) Hence give a solution to
Ut + xux = 0
ut + xux = sint, u(0, x) = f(x)
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