\[ y'(x)=\frac {x^4+x^3+x^3 \log (x)+7 x^2 y(x)^2+7 x y(x)^2+y(x)+7 x y(x)^2 \log (x)}{x} \] ✓ Mathematica : cpu = 0.195112 (sec), leaf count = 59
\[\left \{\left \{y(x)\to \frac {x \tan \left (\frac {1}{12} \left (4 \sqrt {7} x^3+3 \sqrt {7} x^2+6 \sqrt {7} x^2 \log (x)+12 \sqrt {7} c_1\right )\right )}{\sqrt {7}}\right \}\right \}\] ✓ Maple : cpu = 0.061 (sec), leaf count = 37
\[\left \{y \left (x \right ) = \frac {\sqrt {7}\, x \tan \left (\frac {\left (4 x^{3}+6 x^{2} \ln \left (x \right )+3 x^{2}+12 c_{1}\right ) \sqrt {7}}{12}\right )}{7}\right \}\]