2.641   ODE No. 641

\[ y'(x)=\frac {x^4 \sqrt {4 x^2 y(x)+1}+\frac {1}{2}}{x^3} \] Mathematica : cpu = 0.214723 (sec), leaf count = 35


\[\left \{\left \{y(x)\to \frac {4 x^8-24 c_1 x^5+36 c_1{}^2 x^2-9}{36 x^2}\right \}\right \}\] Maple : cpu = 0.364 (sec), leaf count = 26


\[c_{1}-\frac {\sqrt {4 x^{2} y \relax (x )+1}}{x}+\frac {2 x^{3}}{3} = 0\]