Solution Found!
is exact. If it is exact, solve it.
Chapter 2, Problem 18E(choose chapter or problem)
In Problems 1–20 determine whether the given differential equation is exact. If it is exact, solve it
\(\left(2 y \sin x \cos x-y+2 y^{2} e^{x y^{2}}\right) \ d x=\left(x-\sin ^{2} x-4 x y e^{x y^{2}}\right) \ d y\)
Text Transcription:
(2y sin x cos x-y + 2y^2 e^xy^2) dx = (x-sin^2 x - 4xye^{xy^2) dy
Questions & Answers
QUESTION:
In Problems 1–20 determine whether the given differential equation is exact. If it is exact, solve it
\(\left(2 y \sin x \cos x-y+2 y^{2} e^{x y^{2}}\right) \ d x=\left(x-\sin ^{2} x-4 x y e^{x y^{2}}\right) \ d y\)
Text Transcription:
(2y sin x cos x-y + 2y^2 e^xy^2) dx = (x-sin^2 x - 4xye^{xy^2) dy
ANSWER:Step 1 of 5
In this question, we have to determine whether the solution is exact or not and if exact then solve it.