Verify that when the linear differential equation the

Chapter 2, Problem 20E

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QUESTION:

Verify that when the linear differential equation \({[P(x) y-Q(x)] d x+d y=0} \) is multiplied by \(\mu(x)=e^{\int P(x) d x}\), the result is exact.

Equation Transcription:

Text Transcription:

[P(x)y-Q(x)]dx+dy=0

mu(x)=e^{int P(x)dx}

Questions & Answers

QUESTION:

Verify that when the linear differential equation \({[P(x) y-Q(x)] d x+d y=0} \) is multiplied by \(\mu(x)=e^{\int P(x) d x}\), the result is exact.

Equation Transcription:

Text Transcription:

[P(x)y-Q(x)]dx+dy=0

mu(x)=e^{int P(x)dx}

ANSWER:

Solution

Step 1 of 4

In this problem we have to determine, when the linear equation of the given form becomes a exact equation.

Given linear differential equation

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