2.1421   ODE No. 1421

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

$$y^{″}(x)=-a^{2}ny(x){\sec }^2(ax)((n-1){\sin }^2(ax)+{\cos }^2(ax))-a(n-1)\sin (2ax){\sec }^2(ax)y^{\prime }(x)$$ ✓ Mathematica : cpu = 0.245691 (sec), leaf count = 65

$$\left\{\{y(x)\to \frac{2^{-n}(2a{c}_1-i{c}_2{e}^{2iax}){(e^{-iax}+e^{iax})}^n}{a(1+e^{2iax})}\}\right\}$$

✓ Maple : cpu = 0.079 (sec), leaf count = 27

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{(\cos \left(ax\right))}^n+\mathit{\_}\mathit{C}\mathit{2}\sin \left(ax\right){(\cos \left(ax\right))}^{n-1}\}$$