60.7.3 problem 1593 (6.3)

Internal problem ID [11592]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 6, non-linear second order
Problem number : 1593 (6.3)
Date solved : Monday, January 27, 2025 at 11:23:50 PM
CAS classification : [[_Painleve, `1st`]]

\begin{align*} y^{\prime \prime }-6 y^{2}-x&=0 \end{align*}

✗ Solution by Maple

dsolve(diff(diff(y(x),x),x)-6*y(x)^2-x=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[-x - 6*y[x]^2 + D[y[x],{x,2}] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved