2.634   ODE No. 634

\[ y'(x)=\frac {x^5 \sqrt {4 x^2 y(x)+1}+\frac {1}{2}}{x^3} \] Mathematica : cpu = 0.224467 (sec), leaf count = 33


\[\left \{\left \{y(x)\to \frac {x^{10}-8 c_1 x^6+16 c_1{}^2 x^2-4}{16 x^2}\right \}\right \}\] Maple : cpu = 0.376 (sec), leaf count = 26


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