Solved: In 9 and 10 determine whether the given

Chapter 1, Problem 10E

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QUESTION:

In Problems 9 and 10 determine whether the given first-order differential equation is linear in the indicated dependent variable by matching it with the first differential equation given in (7).

\(u d v+\left(v+u v-u e^{u}\right) \ d u=0\) ; in v ; in u

Text Transcription:

udv + (v + uv - ue^u) du = 0

Questions & Answers

QUESTION:

In Problems 9 and 10 determine whether the given first-order differential equation is linear in the indicated dependent variable by matching it with the first differential equation given in (7).

\(u d v+\left(v+u v-u e^{u}\right) \ d u=0\) ; in v ; in u

Text Transcription:

udv + (v + uv - ue^u) du = 0

ANSWER:

Step 1 of 4 

In this problem, we have to determine the given first order differential equation is linear or not with given variables.

The given equation is  in v and u

 

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