60.7.68 problem 1659 (book 6.68)

Internal problem ID [11657]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 6, non-linear second order
Problem number : 1659 (book 6.68)
Date solved : Monday, January 27, 2025 at 11:29:37 PM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} y^{\prime \prime }-f \left (y^{\prime }, a x +b y\right )&=0 \end{align*}

✗ Solution by Maple

dsolve(diff(diff(y(x),x),x)-f(diff(y(x),x),a*x+b*y(x))=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

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

Not solved