2.926   ODE No. 926

\[ y'(x)=\frac {\frac {1}{16} x^3 y(x)^3-\frac {1}{2} x^2 y(x)^3-\frac {3}{8} x^2 y(x)^2+x y(x)^3+x y(x)^2+\frac {3}{4} x y(x)-\frac {1}{2}}{x (x y(x)-2 y(x)-2)} \] Mathematica : cpu = 0.193882 (sec), leaf count = 128


\[\left \{\left \{y(x)\to \frac {2}{x-2}+\frac {1}{16 x (x-2) \left (-\frac {1}{64}-\frac {e^{2 \left (\frac {1}{2} \log (2-x)-\frac {\log (x)}{2}\right )}}{\sqrt {2048 \log (x)+c_1}}\right )}\right \},\left \{y(x)\to \frac {2}{x-2}+\frac {1}{16 x (x-2) \left (-\frac {1}{64}+\frac {e^{2 \left (\frac {1}{2} \log (2-x)-\frac {\log (x)}{2}\right )}}{\sqrt {2048 \log (x)+c_1}}\right )}\right \}\right \}\] Maple : cpu = 0.056 (sec), leaf count = 67


\[y \relax (x ) = \frac {2 \sqrt {c_{1}+8 \ln \relax (x )}+8}{x \sqrt {c_{1}+8 \ln \relax (x )}+4 x -8}\]