2.321   ODE No. 321

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

$$(2x^{2}y(x{)}^3+x^{2}y(x{)}^2-2x)y^{\prime }(x)-2y(x)-1=0$$ ✓ Mathematica : cpu = 0.179891 (sec), leaf count = 47

$$\text{Solve}[\frac{1}{64}(-4y(x{)}^2+4y(x)-2\log (8y(x)+4)+3)-\frac{1}{4x(2y(x)+1)}=c_1,y(x)]$$

✓ Maple : cpu = 0.175 (sec), leaf count = 42

$$\{y\left(x\right)=\frac{{\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^3-4x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2+8\mathit{\_}\mathit{C}\mathit{1}x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+2\mathit{\_}\mathit{Z}x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+3x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+16)}}{2}-\frac{1}{2}\}$$