Determine whether the differential equation (5x² - 2xy + 6) dx + (7y² - x² + 5) dy = 0 is exact. If it is exact, find the solution.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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Determine whether the differential equation
(5x² - 2xy + 6) dx + (7y² - x² + 5) dy = 0
is exact. If it is exact, find the solution.
The differential equation isy
The general solution is
Jy
exact because
Transcribed Image Text:Determine whether the differential equation (5x² - 2xy + 6) dx + (7y² - x² + 5) dy = 0 is exact. If it is exact, find the solution. The differential equation isy The general solution is Jy exact because
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