60.8.19 problem 1855

Internal problem ID [11854]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 7, non-linear third and higher order
Problem number : 1855
Date solved : Monday, January 27, 2025 at 11:43:50 PM
CAS classification : [[_3rd_order, _missing_x], [_3rd_order, _with_linear_symmetries]]

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

✗ Solution by Maple

dsolve(diff(y(x),x$3)=f(y(x)),y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[-f[y[x]] + D[y[x],{x,3}] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved