2.1753   ODE No. 1753

\[ 12 y(x) y''(x)-15 y'(x)^2+8 y(x)^3=0 \]

✓ Mathematica : cpu = 0.646246 (sec), leaf count = 43

DSolve[8*y[x]^3 - 15*Derivative[1][y][x]^2 + 12*y[x]*Derivative[2][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to \frac {2304 c_1{}^2}{\left (3 c_1{}^2 x^2+6 c_2 c_1{}^2 x+128+3 c_2{}^2 c_1{}^2\right ){}^2}\right \}\right \}\]

✓ Maple : cpu = 0.119 (sec), leaf count = 147

dsolve(12*diff(diff(y(x),x),x)*y(x)-15*diff(y(x),x)^2+8*y(x)^3=0,y(x))
 

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