Solved: ot exact. Multiply the given differential equation

Chapter 2, Problem 29E

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QUESTION:

In Problems 29 and 30 verify that the given differential equation is not exact. Multiply the given differential equation by the indicated integrating factor \(\mu(x, y)\) and verify that the new equation is exact. Solve.

(-xy sin x + 2y cos x) dx + 2x cos x dy = 0;   \(\mu(x, y)=x y\)

Text Transcription:

mu(x, y)

mu(x, y)=xy

Questions & Answers

QUESTION:

In Problems 29 and 30 verify that the given differential equation is not exact. Multiply the given differential equation by the indicated integrating factor \(\mu(x, y)\) and verify that the new equation is exact. Solve.

(-xy sin x + 2y cos x) dx + 2x cos x dy = 0;   \(\mu(x, y)=x y\)

Text Transcription:

mu(x, y)

mu(x, y)=xy

ANSWER:

Step 1 of 5

In this problem we need to verify that the given differential equation is not exact. And then multiply the differential equation with the given integrating factor and show that the new differential equation is exact.

 

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