21.1.3 problem 3

Internal problem ID [4079]
Book : Differential equations, Shepley L. Ross, 1964
Section : 2.4, page 55
Problem number : 3
Date solved : Monday, January 27, 2025 at 08:07:42 AM
CAS classification : [_rational, [_Abel, `2nd type`, `class B`]]

\begin{align*} y^{2} \left (x^{2}+1\right )+y+\left (2 y x +1\right ) y^{\prime }&=0 \end{align*}

✗ Solution by Maple

dsolve((y(x)^2*(x^2+1)+y(x))+(2*x*y(x)+1)*diff(y(x),x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[(y[x]^2*(x^2+1)+y[x])+(2*x*y[x]+1)*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved