2.36   ODE No. 36

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

$$axy(x{)}^2+y^{\prime }(x)+y(x{)}^3=0$$ ✓ Mathematica : cpu = 0.20994 (sec), leaf count = 195

$$\text{Solve}[\frac{{\text{Ai}}^{\prime }(\frac{\sqrt[3]{-\frac{1}{2}}\sqrt[3]{a}}{y(x)}-\frac{1}{2}\sqrt[3]{-\frac{1}{2}}{a}^{4/3}{x}^2)-{(-\frac{1}{2})}^{2/3}{a}^{2/3}x\text{Ai}(\frac{\sqrt[3]{-\frac{1}{2}}\sqrt[3]{a}}{y(x)}-\frac{1}{2}\sqrt[3]{-\frac{1}{2}}{a}^{4/3}{x}^2)}{{\text{Bi}}^{\prime }(\frac{\sqrt[3]{-\frac{1}{2}}\sqrt[3]{a}}{y(x)}-\frac{1}{2}\sqrt[3]{-\frac{1}{2}}{a}^{4/3}{x}^2)-{(-\frac{1}{2})}^{2/3}{a}^{2/3}x\text{Bi}(\frac{\sqrt[3]{-\frac{1}{2}}\sqrt[3]{a}}{y(x)}-\frac{1}{2}\sqrt[3]{-\frac{1}{2}}{a}^{4/3}{x}^2)}+c_1=0,y(x)]$$

✓ Maple : cpu = 0.091 (sec), leaf count = 62

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