4. Solve eu, - uu, = 0, u(0, y) = -y %3D for small |r.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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4. Solve
e"u, - uuy = 0, u(0, y) = -y?
for small |r.
5. Consider the PDE
(1+ u)uz + uuy = 0, u(0, y) = y.
Solve in a neighborhood of the origin (0,0). Can you solve in a neighborhood of the whole y-axis?
What happens near (r, y) (0, -1)?
Transcribed Image Text:4. Solve e"u, - uuy = 0, u(0, y) = -y? for small |r. 5. Consider the PDE (1+ u)uz + uuy = 0, u(0, y) = y. Solve in a neighborhood of the origin (0,0). Can you solve in a neighborhood of the whole y-axis? What happens near (r, y) (0, -1)?
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