\[ 9 y(x)^2 y^{(3)}(x)+40 y'(x)^3-45 y(x) y'(x) y''(x)=0 \] ✓ Mathematica : cpu = 0.119391 (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 = 0.434 (sec), leaf count = 81
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))
\[y \left (x \right ) = {\mathrm e}^{\int \operatorname {RootOf}\left (-6 \left (\int _{}^{\textit {\_Z}}\frac {1}{4 \textit {\_h}^{2}+\sqrt {4 \textit {\_h}^{2} c_{1}+c_{1}^{2}}+c_{1}}d \textit {\_h} \right )+x +c_{2}\right )d x +c_{3}}\]