\[ x^7 y'(x)+5 x^3 y(x)^2+2 \left (x^2+1\right ) y(x)^3=0 \] ✓ Mathematica : cpu = 0.373123 (sec), leaf count = 123
\[\text {Solve}\left [c_1=\frac {\frac {1}{2} \sqrt [4]{1-\left (\frac {i x^2}{y(x)}+\frac {i}{x}\right )^2} \left (\frac {i x^2}{y(x)}+\frac {i}{x}\right ) \, _2F_1\left (\frac {1}{2},\frac {5}{4};\frac {3}{2};\left (\frac {i x^2}{y(x)}+\frac {i}{x}\right )^2\right )+i x}{\sqrt [4]{-1+\left (\frac {i x^2}{y(x)}+\frac {i}{x}\right )^2}},y(x)\right ]\] ✓ Maple : cpu = 0.033 (sec), leaf count = 63
\[ \left \{ {\it \_C1}+{x{\frac {1}{\sqrt [4]{ \left ( {x}^{-1}+{\frac {{x}^{2}}{y \left ( x \right ) }} \right ) ^{2}+1}}}}+{\frac {{x}^{3}+y \left ( x \right ) }{2\,xy \left ( x \right ) }{\mbox {$_2$F$_1$}({\frac {1}{2}},{\frac {5}{4}};\,{\frac {3}{2}};\,-{\frac { \left ( {x}^{3}+y \left ( x \right ) \right ) ^{2}}{{x}^{2} \left ( y \left ( x \right ) \right ) ^{2}}})}}=0 \right \} \]