2.544   ODE No. 544

\[ x^7 y(x)^2 y'(x)^3-\left (3 x^6 y(x)^3-1\right ) y'(x)^2+3 x^5 y(x)^4 y'(x)-x^4 y(x)^5=0 \] Mathematica : cpu = 0.0719408 (sec), leaf count = 22


\[\left \{\left \{y(x)\to \sqrt [3]{c_1 x^3+c_1{}^{2/3}}\right \}\right \}\] Maple : cpu = 0.898 (sec), leaf count = 4201


\[y \relax (x ) = \frac {2^{\frac {2}{3}}}{3 x^{2}}\]