Solution Found!
Solved: In 7 –10, x = c1 cos t + c2 sin t is a
Chapter 1, Problem 8E(choose chapter or problem)
In Problems 7–10, \(x=c_{1} \cos t+c_{2} \sin t\) is a two-parameter family of solutions of the second-order DE \(x^{\prime \prime}+x=0\). Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.
\(x(\pi / 2)=0\), \(x^{\prime}(\pi / 2)=1\)
Text Transcription:
x = c_1 cos t + c_2 sin t
x^prime prime + x = 0
x(pi/2)=0
x^prime(pi/2) = 1
Questions & Answers
QUESTION:
In Problems 7–10, \(x=c_{1} \cos t+c_{2} \sin t\) is a two-parameter family of solutions of the second-order DE \(x^{\prime \prime}+x=0\). Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.
\(x(\pi / 2)=0\), \(x^{\prime}(\pi / 2)=1\)
Text Transcription:
x = c_1 cos t + c_2 sin t
x^prime prime + x = 0
x(pi/2)=0
x^prime(pi/2) = 1
ANSWER:Step 1 of 2
In this question we have to find the solution of given the initial conditions