Internal problem ID [9218]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1639 (6.49).
ODE order: 2.
ODE degree: -1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
Solve \begin {gather*} \boxed {y^{\prime \prime }+a y^{\prime } {| y^{\prime }|}+b \sin \relax (y)=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(diff(y(x),x),x)+a*diff(y(x),x)*abs(diff(y(x),x))+b*sin(y(x))=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[b*Sin[y[x]] + a*Abs[y'[x]]*y'[x] + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved