2.303   ODE No. 303

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

$$y(x)(x^{2}y(x{)}^2+1)+x(xy(x)-1{)}^2{y}^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.109234 (sec), leaf count = 25

$$\text{Solve}[xy(x)-\frac{1}{xy(x)}-2\log (y(x))=c_1,y(x)]$$ ✓ Maple : cpu = 0.149 (sec), leaf count = 34

$$\{y\left(x\right)=\frac{{\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-{\mathrm{e}}^{2\mathit{\_}\mathit{Z}}-2{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\ln \left(x\right)+2{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\mathit{\_}\mathit{C}\mathit{1}+2\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+1)}}{x}\}$$