2.40   ODE No. 40

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

$$3ay(x{)}^3+6axy(x{)}^2+y^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.498633 (sec), leaf count = 161

$$\text{Solve}[\frac{\sqrt[3]{-3}\sqrt[3]{a}x\text{Ai}\left(\frac{(-1{)}^{2/3}(3a{x}^{2}y(x)-1)}{\sqrt[3]{3}\sqrt[3]{a}y(x)}\right)+{\text{Ai}}^{\prime }\left(\frac{(-1{)}^{2/3}(3a{x}^{2}y(x)-1)}{\sqrt[3]{3}\sqrt[3]{a}y(x)}\right)}{\sqrt[3]{-3}\sqrt[3]{a}x\text{Bi}\left(\frac{(-1{)}^{2/3}(3a{x}^{2}y(x)-1)}{\sqrt[3]{3}\sqrt[3]{a}y(x)}\right)+{\text{Bi}}^{\prime }\left(\frac{(-1{)}^{2/3}(3a{x}^{2}y(x)-1)}{\sqrt[3]{3}\sqrt[3]{a}y(x)}\right)}+c_1=0,y(x)]$$

✓ Maple : cpu = 0.078 (sec), leaf count = 48

$$\{y\left(x\right)={(3a{x}^2+\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(\sqrt[3]{-3a}\mathrm{B}\mathrm{i}\left(\mathit{\_}\mathit{Z}\right)\mathit{\_}\mathit{C}\mathit{1}x+\sqrt[3]{-3a}x\mathrm{A}\mathrm{i}\left(\mathit{\_}\mathit{Z}\right)+{\mathrm{B}\mathrm{i}}^{(1)}\left(\mathit{\_}\mathit{Z}\right)\mathit{\_}\mathit{C}\mathit{1}+{\mathrm{A}\mathrm{i}}^{(1)}\left(\mathit{\_}\mathit{Z}\right))\sqrt[3]{-3a})}^{-1}\}$$