29.15.11 problem 419

Internal problem ID [5017]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 15
Problem number : 419
Date solved : Monday, January 27, 2025 at 10:03:44 AM
CAS classification : [_rational, [_Abel, `2nd type`, `class A`]]

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

✗ Solution by Maple

dsolve(y(x)*diff(y(x),x)+x^3+y(x) = 0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[y[x] D[y[x],x]+x^3+y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved