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.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
Solve \begin {gather*} \boxed {y^{\prime \prime }+h \relax (y) \left (y^{\prime }\right )^{2}+j \relax (y) y^{\prime }+k \relax (y)=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(diff(y(x),x),x)+h(y(x))*diff(y(x),x)^2+j(y(x))*diff(y(x),x)+k(y(x))=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[k[y[x]] + j[y[x]]*y'[x] + h[y[x]]*y'[x]^2 + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved