7.235 problem 1826 (book 6.235)

Internal problem ID [9404]

Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1826 (book 6.235).
ODE order: 2.
ODE degree: -1.

CAS Maple gives this as type [[_2nd_order, _missing_x], [_2nd_order, _exact, _nonlinear], [_2nd_order, _reducible, _mu_x_y1]]

Solve \begin {gather*} \boxed {h \left (y^{\prime }\right ) y^{\prime \prime }+j \relax (y) y^{\prime }+f=0} \end {gather*}

Solution by Maple

dsolve(h(diff(y(x),x))*diff(diff(y(x),x),x)+j(y(x))*diff(y(x),x)+f=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[f[x] + j[y[x]]*y'[x] + h[y'[x]]*y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved