2.888   ODE No. 888

\[ y'(x)=\frac {x^4 y(x)^3-5 x^3 y(x)^2+6 x^2 y(x)-2 x y(x)-2 x+1}{x^2 \left (x^2 y(x)-x+1\right )} \] Mathematica : cpu = 0.161241 (sec), leaf count = 78


\[\left \{\left \{y(x)\to \frac {x-1}{x^2}+\frac {1}{x^4 \left (\frac {1}{x^2}-\frac {1}{x^2 \sqrt {\frac {2}{x}+c_1}}\right )}\right \},\left \{y(x)\to \frac {x-1}{x^2}+\frac {1}{x^4 \left (\frac {1}{x^2}+\frac {1}{x^2 \sqrt {\frac {2}{x}+c_1}}\right )}\right \}\right \}\] Maple : cpu = 0.05 (sec), leaf count = 79


\[y \relax (x ) = \frac {\sqrt {\frac {x c_{1}+2}{x}}\, x -x +1}{x^{2} \left (\sqrt {\frac {x c_{1}+2}{x}}-1\right )}\]