Solution Found!
In 9–20, determine whether the equation is
Chapter 2, Problem 12E(choose chapter or problem)
In Problems 9–20, determine whether the equation is exact. If it is, then solve it.
\(\left(e^{x} \sin y-3 x^{2}\right) d x+\left(e^{x} \cos y+y^{-2 / 3} / 3\right) d y=0\)
Equation Transcription:
Text Transcription:
(e^{x}sin y-3 x^{2})dx+(e^{x}cos y+y^{-2/3}/3)dy=0
Questions & Answers
QUESTION:
In Problems 9–20, determine whether the equation is exact. If it is, then solve it.
\(\left(e^{x} \sin y-3 x^{2}\right) d x+\left(e^{x} \cos y+y^{-2 / 3} / 3\right) d y=0\)
Equation Transcription:
Text Transcription:
(e^{x}sin y-3 x^{2})dx+(e^{x}cos y+y^{-2/3}/3)dy=0
ANSWER:
Solution
Step 1 of 14
In this problem we have to check the exactness of the given differential equation, and if it is
a exact equation, we are determining the solution of the differential equation.