2.431   ODE No. 431

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

$$x^2{y}^{\prime }(x{)}^2-y(x{)}^4+y(x{)}^2=0$$ ✓ Mathematica : cpu = 0.045015 (sec), leaf count = 81

$$\{\{y(x)\to -\sqrt{1+{\tan }^2(-\log (x)+c_1)}\},\{y(x)\to \sqrt{1+{\tan }^2(-\log (x)+c_1)}\},\{y(x)\to -\sqrt{1+{\tan }^2(\log (x)+c_1)}\},\{y(x)\to \sqrt{1+{\tan }^2(\log (x)+c_1)}\}\}$$ ✓ Maple : cpu = 0.343 (sec), leaf count = 62

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