Internal problem ID [9221]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1642 (6.52).
ODE order: 2.
ODE degree: -1.
CAS Maple gives this as type [NONE]
Solve \begin {gather*} \boxed {y^{\prime \prime }-\frac {D\relax (f )\relax (y) \left (y^{\prime }\right )^{3}}{f \relax (y)}+g \relax (x ) y^{\prime }+h \relax (x ) f \relax (y)=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(diff(y(x),x),x)-diff(f(y(x)),x)/f(y(x))*diff(y(x),x)^2 + g(x)*diff(y(x),x)+h(x)*f(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] - D[f[y[x]], x]/f[y[x]]*y'[x]^2 + g[x]*y'[x] + h[x]*f[y[x]] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved