Internal problem ID [13209]
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]
\[ \boxed {y^{\prime \prime }+y^{\prime } x^{2}+4 y-y^{3}=0} \]
✗ 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