2.537   ODE No. 537

\[ \left (x^6+3 x y(x)^2\right ) y'(x)-2 x^5 y(x)+x^3 y'(x)^3-3 x^2 y(x) y'(x)^2-y(x)^3=0 \] Mathematica : cpu = 0.03308 (sec), leaf count = 16


\[\left \{\left \{y(x)\to x \left (c_1 x+c_1{}^3\right )\right \}\right \}\] Maple : cpu = 4.368 (sec), leaf count = 209


\[y \relax (x ) = -\frac {2 \sqrt {-3 x}\, x^{2}}{9}\]