is exact. If it is exact, solve it.

Chapter 2, Problem 9E

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QUESTION:

In Problems 1–20 determine whether the given differential equation is exact. If it is exact, solve it

\(\left(x-y^{3}+y^{2} \sin x\right) \ d x=\left(3 x y^{2}+2 y \cos x\right) \ d y\)

Text Transcription:

(x - y^3 + y^2 sin x) dx = (3xy^2 + 2y cos x) dy

Questions & Answers

QUESTION:

In Problems 1–20 determine whether the given differential equation is exact. If it is exact, solve it

\(\left(x-y^{3}+y^{2} \sin x\right) \ d x=\left(3 x y^{2}+2 y \cos x\right) \ d y\)

Text Transcription:

(x - y^3 + y^2 sin x) dx = (3xy^2 + 2y cos x) dy

ANSWER:

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