2.1845   ODE No. 1845

\[ 9 y(x)^2 y^{(3)}(x)+40 y'(x)^3-45 y(x) y'(x) y''(x)=0 \] Mathematica : cpu = 0.0968421 (sec), leaf count = 22


\[\left \{\left \{y(x)\to \frac {1}{\left (c_3 x^2+c_2 x+c_1\right ){}^{3/2}}\right \}\right \}\] Maple : cpu = 0.526 (sec), leaf count = 22


\[y \relax (x ) = \frac {c_{3}}{\left (x^{2}+2 x c_{2}+c_{2}^{2}-9 c_{1}\right )^{\frac {3}{2}}}\]