\[ x \left (x^2+1\right ) y'(x)-x^2 y(x)+y(x)^3 \left (-y'(x)^2\right )+x y(x)^2 y'(x)^3=0 \] ✓ Mathematica : cpu = 0.0230807 (sec), leaf count = 55
\[\left \{\left \{y(x)\to -\sqrt {c_1 x^2+\frac {c_1}{1+c_1{}^2}}\right \},\left \{y(x)\to \sqrt {c_1 x^2+\frac {c_1}{1+c_1{}^2}}\right \}\right \}\] ✗ Maple : cpu = 0. (sec), leaf count = 0
, could not solve
dsolve(x*y(x)^2*diff(y(x),x)^3-y(x)^3*diff(y(x),x)^2+x*(x^2+1)*diff(y(x),x)-x^2*y(x)=0,y(x))