Internal problem ID [2481]
Book: Differential equations, Shepley L. Ross, 1964
Section: 2.4, page 55
Problem number: 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational, [_Abel, 2nd type, class B]]
Solve \begin {gather*} \boxed {y^{2} \left (x^{2}+1\right )+y+\left (2 y x +1\right ) y^{\prime }=0} \end {gather*}
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[(y[x]^2*(x^2+1)+y[x])+(2*x*y[x]+1)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved