3.146   ODE No. 146

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

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

Mathematica: cpu = 0.507564 (sec), leaf count = 78 $$\text{Solve}[-\frac{ia}{x}=\frac{2e^{\frac{1}{2}{(-\frac{ia}{x}-\frac{i}{y(x)})}^2}}{2c_1+\sqrt{2\pi }\text{erfi}\left(\frac{-\frac{ia}{x}-\frac{i}{y(x)}}{\sqrt{2}}\right)},y(x)]$$

Maple: cpu = 0.141 (sec), leaf count = 82 $$\{\mathit{\_}\mathit{C}\mathit{1}+(x+\frac{a\sqrt{\pi }\sqrt{2}}{2}\mathit{E}\mathit{r}\mathit{f}\left(\frac{\sqrt{2}(ay\left(x\right)+x)}{2xy\left(x\right)}\right){\mathrm{e}}^{\frac{{(ay\left(x\right)+x)}^2}{2x^2{\left(y\left(x\right)\right)}^2}}){\mathrm{e}}^{-\frac{((a-x)y\left(x\right)+x)((x+a)y\left(x\right)+x)}{2x^2{\left(y\left(x\right)\right)}^2}}=0\}$$