64.2.6 problem 4(b)

Internal problem ID [13266]
Book : Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi. 2004.
Section : Chapter 1, section 1.3. Exercises page 22
Problem number : 4(b)
Date solved : Tuesday, January 28, 2025 at 05:13:35 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }+y&=0 \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&=0\\ y^{\prime }\left (\frac {\pi }{2}\right )&=-1 \end{align*}

✗ Solution by Maple

dsolve([diff(y(x),x$2)+y(x)=0,y(0) = 0, D(y)(1/2*Pi) = -1],y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[{D[y[x],{x,2}]+y[x]==0,{y[0]==0,Derivative[1][y][Pi/2]==-1}},y[x],x,IncludeSingularSolutions -> True]
 

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