60.7.16 problem 1606 (6.16)

Internal problem ID [11605]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 6, non-linear second order
Problem number : 1606 (6.16)
Date solved : Monday, January 27, 2025 at 11:24:42 PM
CAS classification : [NONE]

\begin{align*} y^{\prime \prime }+{\mathrm e}^{x} \sin \left (y\right )&=0 \end{align*}

✗ Solution by Maple

dsolve(diff(diff(y(x),x),x)+exp(x)*sin(y(x))=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[Exp[x]*Sin[y[x]] + D[y[x],{x,2}] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved