9.4 problem 14.1 (d)

Internal problem ID [13529]

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).
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [NONE]

\[ \boxed {y^{\prime \prime }+x^{2} y^{\prime }+4 y-y^{3}=0} \]

✗ 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: 0.0 (sec). Leaf size: 0

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

Not solved