70.1.16 problem 2.4 (iii)

Internal problem ID [14306]
Book : Nonlinear Ordinary Differential Equations by D.W.Jordna and P.Smith. 4th edition 1999. Oxford Univ. Press. NY
Section : Chapter 2. Plane autonomous systems and linearization. Problems page 79
Problem number : 2.4 (iii)
Date solved : Tuesday, January 28, 2025 at 06:26:07 AM
CAS classification : [[_2nd_order, _missing_x]]

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

✗ Solution by Maple

dsolve(diff(x(t),t$2)+diff(x(t),t)+x(t)-x(t)^3=0,x(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

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

Not solved