Internal problem ID [10016]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1694 (book 6.103).
ODE order: 2.
ODE degree: 0.
CAS Maple gives this as type [NONE]
\[ \boxed {f \left (x \right )^{2} y^{\prime \prime }+f \left (x \right ) f^{\prime }\left (x \right ) y^{\prime }-h \left (y, f \left (x \right ) y^{\prime }\right )=0} \]
✗ Solution by Maple
dsolve(f(x)^2*diff(diff(y(x),x),x)+f(x)*diff(f(x),x)*diff(y(x),x)-h(y(x),f(x)*diff(y(x),x))=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[-h[y[x], f[x]*y'[x]] + f[x]*Derivative[1][f][x]*y'[x] + f[x]^2*y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved