   Chapter 6.3, Problem 84E

Chapter
Section
Textbook Problem

True or False? In Exercises 83-85, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.The differential equation y ' = x y − 2 y + x − 2 is separable.

To determine
Whether the statement “The differential equation y=xy2y+x2 separable “istrue or false. If false, give reason with an example.

Explanation

Given:

y=xy2y+x2

Explanation:

Consider the given differential equation.

y=xy2y+x2

This gives

dydx=y(x2)<

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