Find two solutions of the initial-value problem ( y) 2 ( y) 2 1, y(p/2) 1 2, y9(p/2)

Chapter 3, Problem 12

(choose chapter or problem)

Find two solutions of the initial-value problem

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

Use a numerical solver to graph the solution curves.

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