cises 2.4 we saw that a mathematical model for the

Chapter 2, Problem 37E

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QUESTION:

Falling Chain In Problem 45 in Exercises 2.4 we saw that a mathematical model for the velocity v of a chain slipping off the edge of a high horizontal platform is

\(x v \frac{d v}{d x}+v^{2}=32 x\) .

In that problem you were asked to solve the DE by converting it into an exact equation using an integrating factor. This time, solve the DE using the fact that it is a Bernoulli equation.

Text Transcription:

xv dv/dx + v^2 = 32x

Questions & Answers

QUESTION:

Falling Chain In Problem 45 in Exercises 2.4 we saw that a mathematical model for the velocity v of a chain slipping off the edge of a high horizontal platform is

\(x v \frac{d v}{d x}+v^{2}=32 x\) .

In that problem you were asked to solve the DE by converting it into an exact equation using an integrating factor. This time, solve the DE using the fact that it is a Bernoulli equation.

Text Transcription:

xv dv/dx + v^2 = 32x

ANSWER:

Step 1 of 5

In this problem we have to solve the given differential equation using the fact that it is a Bernoulli equation.

Given differential equation is  

 

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