2.1753   ODE No. 1753

\[ 12 y(x) y''(x)-15 y'(x)^2+8 y(x)^3=0 \] Mathematica : cpu = 0.479988 (sec), leaf count = 43


\[\left \{\left \{y(x)\to \frac {2304 c_1{}^2}{\left (3 c_1{}^2 x^2+6 c_2 c_1{}^2 x+128+3 c_2{}^2 c_1{}^2\right ){}^2}\right \}\right \}\] Maple : cpu = 1.003 (sec), leaf count = 147


\[-\frac {12 y \relax (x ) \left (8 \sqrt {y \relax (x )}-c_{1}\right ) \sqrt {8 y \relax (x )-c_{1} \sqrt {y \relax (x )}}}{\sqrt {-24 y \relax (x )^{3}+3 c_{1} y \relax (x )^{\frac {5}{2}}}\, c_{1} \sqrt {\sqrt {y \relax (x )}\, \left (8 \sqrt {y \relax (x )}-c_{1}\right )}}-x -c_{2} = 0\]