9.9   ODE No. 1845

$$\boxed{{\displaystyle 9{\left(y\left(x\right)\right)}^2\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)-45y\left(x\right)\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+40{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^3=0}}$$

1. Problem in Latex
2. Mathematica input
3. Maple input

Mathematica: cpu = 0.074009 (sec), leaf count = 37 $$\text{DSolve}[9y(x{)}^2{y}^{(3)}(x)+40y^{\prime }(x{)}^3-45y(x)y^{\prime }(x)y^{″}(x)=0,y(x),x]$$

Maple: cpu = 0.187 (sec), leaf count = 22 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{3}{({\mathit{\_}\mathit{C}\mathit{2}}^2+2\mathit{\_}\mathit{C}\mathit{2}x+x^2-9\mathit{\_}\mathit{C}\mathit{1})}^{-\frac{3}{2}}\}$$