60.7.6 problem 1596 (6.6)

Internal problem ID [11595]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 6, non-linear second order
Problem number : 1596 (6.6)
Date solved : Monday, January 27, 2025 at 11:23:55 PM
CAS classification : [[_Painleve, `2nd`]]

\begin{align*} y^{\prime \prime }-2 y^{3}-y x +a&=0 \end{align*}

✗ Solution by Maple

dsolve(diff(diff(y(x),x),x)-2*y(x)^3-x*y(x)+a=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[a - x*y[x] - 2*y[x]^3 + D[y[x],{x,2}] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved