Solution Found!
Answer: In 11 –14, y = c1ex + c2e-x is a two-parameter
Chapter 1, Problem 14E(choose chapter or problem)
In Problems 11–14, \(y=c_{1} e^{x}+c_{2} e^{-x}\) is a two-parameter family of solutions of the second-order DE \(y^{\prime \prime}-y=0\). Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.
y(0)=0, y^{\prime}(0)=0\)
Text Transcription:
y=c_1 e^x + c_2 e^-x
y^prime prime - y = 0
y^prime(0)=0
Questions & Answers
QUESTION:
In Problems 11–14, \(y=c_{1} e^{x}+c_{2} e^{-x}\) is a two-parameter family of solutions of the second-order DE \(y^{\prime \prime}-y=0\). Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.
y(0)=0, y^{\prime}(0)=0\)
Text Transcription:
y=c_1 e^x + c_2 e^-x
y^prime prime - y = 0
y^prime(0)=0
ANSWER:Step 1 of 4
Given ……..(1) is a two parameter family of solution
of the second order differential equation .
Given initial conditions