\[ 9 y(x)^2 y^{(3)}(x)+40 y'(x)^3-45 y(x) y'(x) y''(x)=0 \] ✓ Mathematica : cpu = 0.0968421 (sec), leaf count = 22
DSolve[40*Derivative[1][y][x]^3 - 45*y[x]*Derivative[1][y][x]*Derivative[2][y][x] + 9*y[x]^2*Derivative[3][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {1}{\left (c_3 x^2+c_2 x+c_1\right ){}^{3/2}}\right \}\right \}\] ✓ Maple : cpu = 0.526 (sec), leaf count = 22
dsolve(9*y(x)^2*diff(diff(diff(y(x),x),x),x)-45*y(x)*diff(y(x),x)*diff(diff(y(x),x),x)+40*diff(y(x),x)^3=0,y(x))
\[y \left (x \right ) = \frac {c_{3}}{\left (x^{2}+2 x c_{2}+c_{2}^{2}-9 c_{1}\right )^{\frac {3}{2}}}\]