Directions: In each of the following equations, determine if the equation is exact and solve for the general solution. 1. (3x2 + 4xy + y2) dx + (2x² + 2xy + 9) dy = 0 2. (2x/y) dy + [2 ln(5y) + 1/x] dx = 0 3. (4x-2y + 5) dx + (2y - 2x) dy = 0
Directions: In each of the following equations, determine if the equation is exact and solve for the general solution. 1. (3x2 + 4xy + y2) dx + (2x² + 2xy + 9) dy = 0 2. (2x/y) dy + [2 ln(5y) + 1/x] dx = 0 3. (4x-2y + 5) dx + (2y - 2x) dy = 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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![Directions: In each of the following equations, determine if the equation is exact and solve for the general
solution.
1. (3x² + 4xy + y²) dx + (2x² + 2xy + 9) dy = 0
2.
(2x/y) dy + [2 ln(5y) + 1/x] dx = 0
3. (4x-2y + 5) dx + (2y - 2x) dy = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6dc6da3d-9402-4f85-8a75-34c93da96fbe%2Fd12bef2f-6c73-4cc9-8a01-242c8fe06237%2Fmy4yo3e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Directions: In each of the following equations, determine if the equation is exact and solve for the general
solution.
1. (3x² + 4xy + y²) dx + (2x² + 2xy + 9) dy = 0
2.
(2x/y) dy + [2 ln(5y) + 1/x] dx = 0
3. (4x-2y + 5) dx + (2y - 2x) dy = 0
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