22.4 problem 708 (b)

Internal problem ID [15453]

Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV, G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Chapter 2 (Higher order ODE’s). Section 17. Boundary value problems. Exercises page 163
Problem number: 708 (b).
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [[_2nd_order, _missing_x]]

\[ \boxed {y^{\prime \prime }+y=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 0, y \left (2 \pi \right ) = 1] \end {align*}

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[{y''[x]+y[x]==0,{y[0]==0,y[2*Pi]==1}},y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

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