2.509   ODE No. 509

\[ 9 \left (x^2-1\right ) y(x)^4 y'(x)^2-4 x^2-6 x y(x)^5 y'(x)=0 \] Mathematica : cpu = 0.283644 (sec), leaf count = 34


\[\left \{y(x)\to -\frac {\sqrt [3]{-\frac {1}{2}} \sqrt [3]{-4 x^2+4+c_1{}^2}}{\sqrt [3]{c_1}}\right \}\] Maple : cpu = 1.664 (sec), leaf count = 212


\[y \relax (x ) = \left (-4 x^{2}+4\right )^{\frac {1}{6}}\]