6xu² + 3yv4 = 9 2xy(u² - v²) = 0
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:Problem #5: Verify that there exists a function g: R² R² such that = (u, v) = g(x) for the system
→>
Problem #5:
6xu² + 3yv4
2xy(u² - v²)
= 9
= 0
near the point (1, 1, −1, −1) by calculating det(D(u, v)F(1, 1, −1, −1)) where F: R
function satisfying F(1, 1, −1, −1) = 0
Enter your answer symbolically,
as in these examples
R² is a C¹
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