Solve U (2 y+u) + 2 uy y = x- 2 y, u(x, 1) = a +1. %3D i.e. find an explicit solution for u = u(x, y) subject to u = x+1 when y = 1. u(x, y)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Solve
Uz (2 y +u) + 2 uy y = x - 2y,
u(x, 1) = x + 1.
i.e. find an explicit solution for u =
u(x, y) subject to u = x + 1 when y = 1.
u(x, y) =
Transcribed Image Text:Solve Uz (2 y +u) + 2 uy y = x - 2y, u(x, 1) = x + 1. i.e. find an explicit solution for u = u(x, y) subject to u = x + 1 when y = 1. u(x, y) =
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