\[ y'(x)=\frac {x^5 \sqrt {4 x^2 y(x)+1}+\frac {1}{2}}{x^3} \] ✓ Mathematica : cpu = 0.224467 (sec), leaf count = 33
DSolve[Derivative[1][y][x] == (1/2 + x^5*Sqrt[1 + 4*x^2*y[x]])/x^3,y[x],x]
\[\left \{\left \{y(x)\to \frac {x^{10}-8 c_1 x^6+16 c_1{}^2 x^2-4}{16 x^2}\right \}\right \}\] ✓ Maple : cpu = 0.376 (sec), leaf count = 26
dsolve(diff(y(x),x) = 1/2*(1+2*x^5*(4*x^2*y(x)+1)^(1/2))/x^3,y(x))
\[c_{1}-\frac {\sqrt {4 x^{2} y \left (x \right )+1}}{x}+\frac {x^{4}}{2} = 0\]