60.7.9 problem 1599 (6.9)

Internal problem ID [11598]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 6, non-linear second order
Problem number : 1599 (6.9)
Date solved : Monday, January 27, 2025 at 11:23:58 PM
CAS classification : [NONE]

\begin{align*} y^{\prime \prime }+d +b x y+c y+a y^{3}&=0 \end{align*}

✗ Solution by Maple

dsolve(diff(diff(y(x),x),x)+d+b*x*y(x)+c*y(x)+a*y(x)^3=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

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

Not solved