\[ y'(x)=\frac {x^3 y(x)^6+x^3 y(x)^4+3 x^2 y(x)^4+2 x^2 y(x)^2+x^3+3 x y(x)^2+x+1}{x^5 y(x)} \] ✗ Mathematica : cpu = 40.6398 (sec), leaf count = 0 , could not solve
DSolve[Derivative[1][y][x] == (1 + x + x^3 + 3*x*y[x]^2 + 2*x^2*y[x]^2 + 3*x^2*y[x]^4 + x^3*y[x]^4 + x^3*y[x]^6)/(x^5*y[x]), y[x], x]
✓ Maple : cpu = 1.097 (sec), leaf count = 84
\[ \left \{ y \left ( x \right ) ={\frac {1}{x}\sqrt {x \left ( {\it RootOf} \left ( \int ^{{\it \_Z}}\! \left ( 2\,{{\it \_a}}^{3}+2\,{{\it \_a}}^{2}+1 \right ) ^{-1}{d{\it \_a}}x+{\it \_C1}\,x+1 \right ) x-1 \right ) }},y \left ( x \right ) =-{\frac {1}{x}\sqrt {x \left ( {\it RootOf} \left ( \int ^{{\it \_Z}}\! \left ( 2\,{{\it \_a}}^{3}+2\,{{\it \_a}}^{2}+1 \right ) ^{-1}{d{\it \_a}}x+{\it \_C1}\,x+1 \right ) x-1 \right ) }} \right \} \]