2.146   ODE No. 146

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

$$ay(x{)}^2+x^2{y}^{\prime }(x)+xy(x{)}^3=0$$ ✓ Mathematica : cpu = 0.645525 (sec), leaf count = 78

$$\text{Solve}[-\frac{ia}{x}=\frac{2e^{\frac{1}{2}{(-\frac{ia}{x}-\frac{i}{y(x)})}^2}}{\sqrt{2\pi }\text{erfi}\left(\frac{-\frac{ia}{x}-\frac{i}{y(x)}}{\sqrt{2}}\right)+2c_1},y(x)]$$ ✓ Maple : cpu = 0.134 (sec), leaf count = 84

$$\{\frac{1}{2}(a\sqrt{\pi }\sqrt{2}\mathit{E}\mathit{r}\mathit{f}\left(\frac{\sqrt{2}(ay\left(x\right)+x)}{2xy\left(x\right)}\right){\mathrm{e}}^{\frac{{(ay\left(x\right)+x)}^2}{2x^2{\left(y\left(x\right)\right)}^2}}+2x){\mathrm{e}}^{-\frac{((a-x)y\left(x\right)+x)((x+a)y\left(x\right)+x)}{2x^2{\left(y\left(x\right)\right)}^2}}+\mathit{\_}\mathit{C}\mathit{1}=0\}$$