In 1–6, identify the equation as separable,

Chapter 2, Problem 6E

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QUESTION:

In Problems 1–6, identify the equation as separable, linear, exact, or having an integrating factor that is a function of either x alone or y alone.

\(\left(2 y^{2} x-y\right) d x+x\ d y=0\)

Equation Transcription:

Text Transcription:

(2y^{2} x-y)dx+x dy=0

Questions & Answers

QUESTION:

In Problems 1–6, identify the equation as separable, linear, exact, or having an integrating factor that is a function of either x alone or y alone.

\(\left(2 y^{2} x-y\right) d x+x\ d y=0\)

Equation Transcription:

Text Transcription:

(2y^{2} x-y)dx+x dy=0

ANSWER:

Solution

In this question we have to classify the equation whether it is linear, separable, exact or having

an integrating factor that is a function of either x alone or y alone.

Step 1

Given Equation: 

For the equation to be linear it should be in the form of

For the equation to be exact :

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