Internal problem ID [9223]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1644 (6.54).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
Solve \begin {gather*} \boxed {y^{\prime \prime }+f \relax (y) \left (y^{\prime }\right )^{2}+g \relax (y) y^{\prime }+h \relax (y)=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(diff(y(x),x),x)+f(y(x))*diff(y(x),x)^2+g(y(x))*diff(y(x),x)+h(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]+f[y[x]]*y'[x]^2+g[y[x]]*y'[x]+h[y[x]]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved