Find two solutions of the initial-value problem Use a

QUESTION:

Find two solutions of the initial-value problem

\(\left(y^{\prime \prime}\right)^{2}+\left(y^{\prime}\right)^{2}=1, \quad y\left(\frac{\pi}{2}\right)=\frac{1}{2}, \quad y^{\prime}\left(\frac{\pi}{2}\right)=\frac{\sqrt{3}}{2} .\)

Use a numerical solver to graph the solution curves.

Text Transcription:

y^prime\prime^2+y^prime^2=1,ypi2=frac12,y^primefracpi2fracsqrt32.