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.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [NONE]
Solve \begin {gather*} \boxed {\frac {\left (1-D\relax (j )\relax (y)\right ) \left (y^{\prime }\right )^{2}}{j \relax (y)}+y^{\prime } f \relax (x )+y^{\prime \prime }+g \relax (x ) j \relax (y)=0} \end {gather*}
✗ Solution by Maple
dsolve((1-D(j)(y(x)))/j(y(x))*diff(y(x),x)^2+f(x)*diff(y(x),x)+diff(diff(y(x),x),x)+g(x)*j(y(x))=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[g[x]*j[y[x]] + f[x]*y'[x] + h[y[x]]*y'[x]^2 + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved