60.7.235 problem 1826 (book 6.235)

Internal problem ID [11824]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 6, non-linear second order
Problem number : 1826 (book 6.235)
Date solved : Monday, January 27, 2025 at 11:43:05 PM
CAS classification : [[_2nd_order, _missing_x], [_2nd_order, _exact, _nonlinear], [_2nd_order, _reducible, _mu_x_y1]]

\begin{align*} h \left (y^{\prime }\right ) y^{\prime \prime }+j \left (y\right ) y^{\prime }+f&=0 \end{align*}

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: 0.000 (sec). Leaf size: 0

DSolve[f[x] + j[y[x]]*D[y[x],x] + h[D[y[x],x]]*D[y[x],{x,2}] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved