Internal problem ID [9178]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1599 (6.9).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [NONE]
Solve \begin {gather*} \boxed {y^{\prime \prime }+d +b x y+c y+a y^{3}=0} \end {gather*}
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[d + c*y[x] + b*x*y[x] + a*y[x]^3 + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved