\[ y'(x)=\frac {x^4 \sqrt {4 x^2 y(x)+1}+\frac {1}{2}}{x^3} \] ✓ Mathematica : cpu = 0.214723 (sec), leaf count = 35
DSolve[Derivative[1][y][x] == (1/2 + x^4*Sqrt[1 + 4*x^2*y[x]])/x^3,y[x],x]
\[\left \{\left \{y(x)\to \frac {4 x^8-24 c_1 x^5+36 c_1{}^2 x^2-9}{36 x^2}\right \}\right \}\] ✓ Maple : cpu = 0.364 (sec), leaf count = 26
dsolve(diff(y(x),x) = 1/2*(1+2*(4*x^2*y(x)+1)^(1/2)*x^4)/x^3,y(x))
\[c_{1}-\frac {\sqrt {4 x^{2} y \left (x \right )+1}}{x}+\frac {2 x^{3}}{3} = 0\]