73.9.4 problem 14.1 (d)

Internal problem ID [15265]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 14. Higher order equations and the reduction of order method. Additional exercises page 277
Problem number : 14.1 (d)
Date solved : Tuesday, January 28, 2025 at 07:51:10 AM
CAS classification : [NONE]

\begin{align*} y^{\prime \prime }+x^{2} y^{\prime }+4 y&=y^{3} \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x$2)+x^2*diff(y(x),x)+4*y(x)=y(x)^3,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[D[y[x],{x,2}]+x^2*D[y[x],x]+4*y[x]==y[x]^3,y[x],x,IncludeSingularSolutions -> True]
 

Not solved