#5: Verify that there exists a function g: R². R² such that u (u, v) = g(x) for the system 5x² + 4y = 9 3xy(²-²) = 0 near the point (1, 1,-1,-1), by calculating det(D(u, v)F(1, 1,-1,-1)) where F: R4 satisfying F(1, 1,-1,-1) = 0 R² is a C¹ function
#5: Verify that there exists a function g: R². R² such that u (u, v) = g(x) for the system 5x² + 4y = 9 3xy(²-²) = 0 near the point (1, 1,-1,-1), by calculating det(D(u, v)F(1, 1,-1,-1)) where F: R4 satisfying F(1, 1,-1,-1) = 0 R² is a C¹ function
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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t5
![#5: Verify that there exists a function g: R². R² such that u (u, v) = g(x) for the system
5x² + 4y = 9
3xy(²-²) = 0
near the point (1, 1,-1,-1), by calculating det(D(u, v)F(1, 1,-1,-1)) where F: R4
satisfying F(1, 1,-1,-1) = 0
R² is a C¹ function](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1652026a-6ba6-42d7-9e35-ad3e7516e1ec%2F305178bd-1ed4-4f96-b4b4-16be511bb069%2F5st9hap_processed.png&w=3840&q=75)
Transcribed Image Text:#5: Verify that there exists a function g: R². R² such that u (u, v) = g(x) for the system
5x² + 4y = 9
3xy(²-²) = 0
near the point (1, 1,-1,-1), by calculating det(D(u, v)F(1, 1,-1,-1)) where F: R4
satisfying F(1, 1,-1,-1) = 0
R² is a C¹ function
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