Solution Found!
Answer: In 1–8, classify the equation as separable,
Chapter 2, Problem 4E(choose chapter or problem)
In Problems 1–8, classify the equation as separable, linear, exact, or none of these. Notice that some equations may have more than one classification.
4. \(\left(y e^{x y}+2 x\right) d x+\left(x e^{x y}-2 y\right) d y=0\)
Equation Transcription:
Text Transcription:
(ye^{xy}+2x)dx+(xe^{xy}-2y)dy=0
Questions & Answers
QUESTION:
In Problems 1–8, classify the equation as separable, linear, exact, or none of these. Notice that some equations may have more than one classification.
4. \(\left(y e^{x y}+2 x\right) d x+\left(x e^{x y}-2 y\right) d y=0\)
Equation Transcription:
Text Transcription:
(ye^{xy}+2x)dx+(xe^{xy}-2y)dy=0
ANSWER:
Solution:-
Step1
Given that
We have to classify the given equation as separable, linear, exact, or none of these.
Step2
We have
For separable equation:-
Equation is in form of
Now,
We can rewrite the equation as
equation we can not express in the form of b(y) because it depends on y only.
Therefore, this implies that equation is not separable.