Solution Found!
In 9–20, determine whether the equation is
Chapter 2, Problem 16E(choose chapter or problem)
QUESTION:
In Problems 9–20, determine whether the equation is exact. If it is, then solve it.
\(\left(y e^{x y}-1 / y\right) d x+\left(x e^{x y}+x / y^{2}\right) d y=0\)
Equation Transcription:
Text Transcription:
(ye^{x y}-1/y)dx+(xe^{xy}+x/y^{2})dy=0
Questions & Answers
QUESTION:
In Problems 9–20, determine whether the equation is exact. If it is, then solve it.
\(\left(y e^{x y}-1 / y\right) d x+\left(x e^{x y}+x / y^{2}\right) d y=0\)
Equation Transcription:
Text Transcription:
(ye^{x y}-1/y)dx+(xe^{xy}+x/y^{2})dy=0
ANSWER:
SOLUTION:
Step 1
In this problem, we are asked to solve the initial value problem
(y ex y- 1/y)dx + (x e x y+ x/y2)dy = 0