Internal problem ID [9394]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1816 (book 6.225).
ODE order: 2.
ODE degree: -1.
CAS Maple gives this as type [NONE]
Solve \begin {gather*} \boxed {h \relax (y) y^{\prime \prime }-D\relax (h )\relax (y) \left (y^{\prime }\right )^{2}-h \relax (y)^{2} j \left (x , \frac {y^{\prime }}{h \relax (y)}\right )=0} \end {gather*}
✗ Solution by Maple
dsolve(h(y(x))*diff(diff(y(x),x),x)-D(h)(y(x))*diff(y(x),x)^2-h(y(x))^2*j(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[-(h[y[x]]^2*j[x, y'[x]/h[y[x]]]) - h[y[x]]*y'[x]^2 + h[y[x]]*y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved