Verify that the given differential equation is exact; then solve it. (9x² + 7y²) dx + (14xy+9y²) dy = 0

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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Verify that the given differential equation is​ exact then solve it

Verify that the given differential equation is exact; then solve it.
(9x² + 7y²) dx + (14xy +9y²) dy = 0
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The equation is exact and an implicit solution in the form F(x,y) = C is
constant.
(Type an expression using x and y as the variables.)
B. The equation is not exact.
= C, where C is an arbitrary
Transcribed Image Text:Verify that the given differential equation is exact; then solve it. (9x² + 7y²) dx + (14xy +9y²) dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation is exact and an implicit solution in the form F(x,y) = C is constant. (Type an expression using x and y as the variables.) B. The equation is not exact. = C, where C is an arbitrary
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