Solution Found!
Solution: In 3 –6, is a one-parameter family of solutions of
Chapter 1, Problem 6E(choose chapter or problem)
In Problems 3–6, \(y=1 /\left(x^{2}+c\right)\) is a one-parameter family of solutions of the first-order DE \(y^{\prime}+2 x y^{2}=0\). Find a solution of the first-order IVP consisting of this differential equation and the given initial condition. Give the largest interval I over which the solution is defined
\(y\left(\frac{1}{2}\right)=-4\)
Text Transcription:
y = 1/(x^2 + c)
y^prime + 2xy^2 = 0
y(1/2) = -4
Questions & Answers
QUESTION:
In Problems 3–6, \(y=1 /\left(x^{2}+c\right)\) is a one-parameter family of solutions of the first-order DE \(y^{\prime}+2 x y^{2}=0\). Find a solution of the first-order IVP consisting of this differential equation and the given initial condition. Give the largest interval I over which the solution is defined
\(y\left(\frac{1}{2}\right)=-4\)
Text Transcription:
y = 1/(x^2 + c)
y^prime + 2xy^2 = 0
y(1/2) = -4
ANSWER:Step 1 of 4
In this problem we need to find a solution of the first order IVP consisting of this differential equation , and we need to give the largest interval
over which the solution is defined
.