Internal problem ID [9215]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1636 (6.46).
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 }|}+y^{\prime } b +c 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*diff(y(x),x)+c*y(x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[c*y[x] + b*y'[x] + a*Abs[y'[x]]*y'[x] + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved