Solution Found!
Solution: In 15–18 verify that the indicated function is an
Chapter 1, Problem 17E(choose chapter or problem)
In Problems 15–18 verify that the indicated function \(y=\phi(x)\) is an explicit solution of the given first-order differential equation. Proceed as in Example 2, by considering \(\phi\) simply as a function, give its domain. Then by considering \(\phi\) as a solution of the differential equation, give at least one interval I of definition
\(y^{\prime}=2 x y^{2}\) ; \(y=1 /\left(4-x^{2}\right)\)
Text Transcription:
y=phi(x)
phi
y^prime = 2xy^2
y=1/(4-x^2)
Questions & Answers
QUESTION:
In Problems 15–18 verify that the indicated function \(y=\phi(x)\) is an explicit solution of the given first-order differential equation. Proceed as in Example 2, by considering \(\phi\) simply as a function, give its domain. Then by considering \(\phi\) as a solution of the differential equation, give at least one interval I of definition
\(y^{\prime}=2 x y^{2}\) ; \(y=1 /\left(4-x^{2}\right)\)
Text Transcription:
y=phi(x)
phi
y^prime = 2xy^2
y=1/(4-x^2)
ANSWER:Step 1 of 4
In this problem, we have to verify the function is an explicit solution of the given differential equation.