76.11.2 problem 2

Internal problem ID [17546]
Book : Differential equations. An introduction to modern methods and applications. James Brannan, William E. Boyce. Third edition. Wiley 2015
Section : Chapter 4. Second order linear equations. Section 4.1 (Definitions and examples). Problems at page 214
Problem number : 2
Date solved : Tuesday, January 28, 2025 at 10:43:12 AM
CAS classification : [[_2nd_order, _missing_x]]

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

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

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

Not solved