4.7. (e cotx + 2x csc x) dx + e 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
Related questions
Question
solve 4.7
Transcribed Image Text:Determine whether or not each equation is exact. If it is, find the solution.
4.1. (3x4)+(3+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 + e* sin 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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