7.29 problem 1619 (6.29)

Internal problem ID [9198]

Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1619 (6.29).
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [NONE]

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

Solution by Maple

dsolve(diff(diff(y(x),x),x)+a*diff(y(x),x)+f(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[f[x]*Sin[y[x]] + a*y'[x] + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved