2.814   ODE No. 814

\[ y'(x)=\frac {y(x) \left (x^7 y(x)^2-3 x^3 y(x)-3\right )}{x \left (x^3 y(x)+1\right )} \] Mathematica : cpu = 0.134753 (sec), leaf count = 72


\[\left \{\left \{y(x)\to \frac {x}{-x^4+\frac {\sqrt {x+x (-2 x+c_1)}}{\sqrt {\frac {1}{x^7}}}}\right \},\left \{y(x)\to -\frac {x}{x^4+\frac {\sqrt {x+x (-2 x+c_1)}}{\sqrt {\frac {1}{x^7}}}}\right \}\right \}\] Maple : cpu = 0.034 (sec), leaf count = 38


\[y \relax (x ) = \frac {1}{x^{3} \left (\sqrt {c_{1}-2 x}-1\right )}\]