2.31   ODE No. 31

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

$$y^{\prime }(x)-a{x}^n(y(x{)}^2+1)=0$$ ✓ Mathematica : cpu = 0.0298574 (sec), leaf count = 21

$$\left\{\{y(x)\to \tan (\frac{a{x}^{n+1}}{n+1}+c_1)\}\right\}$$

✓ Maple : cpu = 0.04 (sec), leaf count = 26

$$\{y\left(x\right)=\tan \left(\frac{\mathit{\_}\mathit{C}\mathit{1}an+x^{n+1}a+\mathit{\_}\mathit{C}\mathit{1}a}{n+1}\right)\}$$