   Chapter 11, Problem 12RE ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem

# Determining Solutions In Exercises 11-14, determine whether the function is a solution of the differential equation x y ' − 2 y   =   x 3 e x . y = ln x

To determine

Whether y=lnx is the solution of the differential equation xy2y=x3ex or not.

Explanation

Given Information:

The provided differential equation is xy2y=x3ex and the provided solution is y=lnx.

Consider the provided differential equation,

xy2y=x3ex

The provided expression is y=lnx.

Differentiate it with respect to x,

y=1x

Substitute the value of y in the provided differential

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