2.895   ODE No. 895

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

$$y^{\prime }(x)=\frac{x(a^3{x}^{12}+24a^2{x}^{8}y(x)-32a^2{x}^6+192a{x}^{4}y(x{)}^2-256a{x}^{2}y(x)-256a{x}^2+512y(x{)}^3)}{64a{x}^4+512y(x)+512}$$ ✓ Mathematica : cpu = 0.0266655 (sec), leaf count = 81

$$\{\{y(x)\to \frac{1}{8}(-a{x}^4-8)[phone]\frac{\mathrm{}}{\mathrm{}\frac{\mathrm{}}{\mathrm{}}-\frac{1}{\sqrt{c_1-262144x^2}})}\},\{y(x)\to \frac{1}{8}(-a{x}^4-8)+\frac{1}{512(\frac{1}{\sqrt{c_1-262144x^2}}+\frac{1}{512})}\}\}$$

✓ Maple : cpu = 0.059 (sec), leaf count = 80

$$\{y\left(x\right)=-\frac{1}{8}(\sqrt{-x^2+\mathit{\_}\mathit{C}\mathit{1}}a{x}^4-a{x}^4-8){(-1+\sqrt{-x^2+\mathit{\_}\mathit{C}\mathit{1}})}^{-1},y\left(x\right)=-\frac{1}{8}(\sqrt{-x^2+\mathit{\_}\mathit{C}\mathit{1}}a{x}^4+a{x}^4+8){(1+\sqrt{-x^2+\mathit{\_}\mathit{C}\mathit{1}})}^{-1}\}$$