2.102   ODE No. 102

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

$$-a{x}^3+x{y}^{\prime }(x)+xy(x{)}^2-y(x)=0$$ ✓ Mathematica : cpu = 0.0199251 (sec), leaf count = 36

$$\left\{\{y(x)\to \sqrt{a}x\tanh \left(\frac{1}{2}(2\sqrt{a}{c}_1+\sqrt{a}{x}^2)\right)\}\right\}$$

✓ Maple : cpu = 0.039 (sec), leaf count = 24

$$\{y\left(x\right)=\tanh (\frac{x^2}{2}\sqrt{a}+\mathit{\_}\mathit{C}\mathit{1}\sqrt{a})x\sqrt{a}\}$$