In 11 and 12 show that the substitution leads to a

Chapter 4, Problem 13E

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QUESTION:

In Problems 13 and 14 show that the substitution \(u=y^{\prime}\) leads to a Bernoulli equation. Solve this equation (see Section 2.5).

\(x y^{\prime \prime}=y^{\prime}+\left(y^{\prime}\right)^{3}\)

Text Transcription:

u=y^prime

xy^prime\prime=y^prime+y^prime^3

Questions & Answers

QUESTION:

In Problems 13 and 14 show that the substitution \(u=y^{\prime}\) leads to a Bernoulli equation. Solve this equation (see Section 2.5).

\(x y^{\prime \prime}=y^{\prime}+\left(y^{\prime}\right)^{3}\)

Text Transcription:

u=y^prime

xy^prime\prime=y^prime+y^prime^3

ANSWER:

Step 1 of 6

In this problem we need to show that the substitution  leads to a Bernoulli equation and then solve the equation .

 

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