\[ x^7 y'(x)+5 x^3 y(x)^2+2 \left (x^2+1\right ) y(x)^3=0 \] ✓ Mathematica : cpu = 0.472041 (sec), leaf count = 106
\[\text {Solve}\left [c_1=\frac {\frac {i \sqrt [4]{\frac {x^4}{y(x)^2}+\frac {1}{x^2}+\frac {2 x}{y(x)}+1} \left (x^3+y(x)\right ) \, _2F_1\left (\frac {1}{2},\frac {5}{4};\frac {3}{2};-\frac {\left (x^3+y(x)\right )^2}{x^2 y(x)^2}\right )}{2 x y(x)}+i x}{\sqrt [4]{-\frac {\left (x^3+y(x)\right )^2}{x^2 y(x)^2}-1}},y(x)\right ]\]
✓ Maple : cpu = 0.049 (sec), leaf count = 63
\[ \left \{ {\it \_C1}+{x{\frac {1}{\sqrt [4]{ \left ( {x}^{-1}+{\frac {{x}^{2}}{y \left ( x \right ) }} \right ) ^{2}+1}}}}+{\frac {{x}^{3}+y \left ( x \right ) }{2\,xy \left ( x \right ) }{\mbox {$_2$F$_1$}({\frac {1}{2}},{\frac {5}{4}};\,{\frac {3}{2}};\,-{\frac { \left ( {x}^{3}+y \left ( x \right ) \right ) ^{2}}{{x}^{2} \left ( y \left ( x \right ) \right ) ^{2}}})}}=0 \right \} \]