Internal problem ID [9187]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1608 (6.18).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [NONE]
Solve \begin {gather*} \boxed {y^{\prime \prime }+a^{2} \sin \relax (y)-\beta \sin \relax (x )=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(diff(y(x),x),x)+a^2*sin(y(x))-beta*sin(x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[-(\[Beta]*Sin[x]) + a^2*Sin[y[x]] + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved