7.16 problem 1606 (6.16)

Internal problem ID [9185]

Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1606 (6.16).
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [NONE]

Solve \begin {gather*} \boxed {y^{\prime \prime }+{\mathrm e}^{x} \sin \relax (y)=0} \end {gather*}

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: 0.0 (sec). Leaf size: 0

DSolve[Exp[x]*Sin[y[x]] + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved