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Find an 4.6. (3x²y + 2xy + y³) dx + (x² + y²) dy = 0 integrating factor and solve the following equations.

Find an 4.6. (3x²y + 2xy + y³) dx + (x² + y²) dy = 0 integrating factor and solve the following equations.

Advanced Engineering Mathematics
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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Question

Solve 4.6

Determine whether or not each equation is exact. If it is, find the solution. 4.1. (3x4)+(3y + 2)y' = 0 4.2. (2x - 4y) + (2y + 3x)y=0 4.3. (3x²2xy + 2) dx + (6y² - x² + 3) dy = 0 4.4. (e sin y + 3y) dx + (3x + esin y) dy = 0 4.5. (y/x+6x) dx + (lnx - 2) dy = 0 Find an integrating factor and solve the following equations. (3x²y + 2xy + y³) dx + (x² + y²) dy = 0 4.6. 4.7. (e cotx + 2x csc x) dx + e dy = 0
Transcribed Image Text:Determine whether or not each equation is exact. If it is, find the solution. 4.1. (3x4)+(3y + 2)y' = 0 4.2. (2x - 4y) + (2y + 3x)y=0 4.3. (3x²2xy + 2) dx + (6y² - x² + 3) dy = 0 4.4. (e sin y + 3y) dx + (3x + esin y) dy = 0 4.5. (y/x+6x) dx + (lnx - 2) dy = 0 Find an integrating factor and solve the following equations. (3x²y + 2xy + y³) dx + (x² + y²) dy = 0 4.6. 4.7. (e cotx + 2x csc x) dx + e dy = 0
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