. In the integral x² + y² 1 = S₁² S₁² 1 + (2² - 3²) ² €² 0 0 make the change of variables -2xy dx dy u= x² - y² v = 2xy and evaluate I. Hint: Use (4.8) and the accompanying discussion.
. In the integral x² + y² 1 = S₁² S₁² 1 + (2² - 3²) ² €² 0 0 make the change of variables -2xy dx dy u= x² - y² v = 2xy and evaluate I. Hint: Use (4.8) and the accompanying discussion.
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:19.
In the integral
¹ = √° 6°*°*
I
0
make the change of variables
x² + y²
1+ (x² - y²)²
= x² - y²
e
-2xy dx dy
ጊ
v = 2xy
and evaluate I. Hint: Use (4.8) and the accompanying discussion.
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