Use the transformation x = u + (1/2)v, y = v to evaluate the iterated integral ry=2 x=(y+4)/2 y³(2x - y)e(²x−y)² dx dy y=0 x=y/2
Use the transformation x = u + (1/2)v, y = v to evaluate the iterated integral ry=2 x=(y+4)/2 y³(2x - y)e(²x−y)² dx dy y=0 x=y/2
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:Use the transformation
x = u + (1/2)v, y = v to evaluate the iterated integral
y³(2x − y)e(2x−y)²
dx dy
ry=2 x=(y+4)/2
√ √² =
y=0
x=y/2
Transcribed Image Text:by first writing it as an integral over a region G in the uv-plane.
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