9.8   ODE No. 1844

$$\boxed{{\displaystyle 4{\left(y\left(x\right)\right)}^2\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)-18y\left(x\right)\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+15{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^3=0}}$$

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

Mathematica: cpu = 0.075010 (sec), leaf count = 37 $$\text{DSolve}[4y(x{)}^2{y}^{(3)}(x)+15y^{\prime }(x{)}^3-18y(x)y^{\prime }(x)y^{″}(x)=0,y(x),x]$$

Maple: cpu = 0.203 (sec), leaf count = 26 $$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{3}}{{(-{\mathit{\_}\mathit{C}\mathit{2}}^2-2\mathit{\_}\mathit{C}\mathit{2}x-x^2+4\mathit{\_}\mathit{C}\mathit{1})}^2}\}$$