Internal problem ID [9222]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1643 (6.53).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [NONE]
Solve \begin {gather*} \boxed {y^{\prime \prime }+\phi \relax (y) \left (y^{\prime }\right )^{2}+y^{\prime } f \relax (x )+g \relax (x ) \Phi \relax (y)=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(y(x),x$2)+phi(y(x))*diff(y(x),x)^2+f(x)*diff(y(x),x)+g(x)*Phi(y(x))=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y''[x]+\[Phi][y[x]]*y'[x]^2+f[x]*y'[x]+g[x]*\[CurlyPhi][y[x]]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved