Solution: is exact. If it is exact, solve it.

Chapter 2, Problem 6E

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QUESTION:

In Problems 1–20 determine whether the given differential equation is exact. If it is exact, solve it

\(\left(2 y-\frac{1}{x}+\cos 3 x \frac{d y}{d x}+\frac{y}{x^{2}}-4 x^{3}+3 y \sin 3 x=0\right.\)

Text Transcription:

(2y - 1/x + cos 3x dy/dx + y/x^2 - 4x^3 + 3y sin 3x = 0

Questions & Answers

QUESTION:

In Problems 1–20 determine whether the given differential equation is exact. If it is exact, solve it

\(\left(2 y-\frac{1}{x}+\cos 3 x \frac{d y}{d x}+\frac{y}{x^{2}}-4 x^{3}+3 y \sin 3 x=0\right.\)

Text Transcription:

(2y - 1/x + cos 3x dy/dx + y/x^2 - 4x^3 + 3y sin 3x = 0

ANSWER:

Step 1 of 3

In this problem we have to determine whether the given differential equation is exact or not.

Given differential equation

Rearranging

 

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