2.884   ODE No. 884

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

$$y^{\prime }(x)=-\frac{x(x^6-3x^{4}y(x{)}^2-x^4+3x^{2}y(x{)}^4+2x^{2}y(x{)}^2-y(x{)}^6-y(x{)}^4-1)}{y(x)}$$ ✓ Mathematica : cpu = 0.388307 (sec), leaf count = 71

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

✓ Maple : cpu = 0.813 (sec), leaf count = 107

$$\{y\left(x\right)={\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(3x^2{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2-6x^3{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-3{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2\ln \left(\frac{{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2-2x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+1}{{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-2x}\right)-2\mathit{\_}\mathit{C}\mathit{1}{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2+3\mathit{\_}\mathit{Z}{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2+6{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\ln \left(\frac{{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2-2x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+1}{{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-2x}\right)x+4\mathit{\_}\mathit{C}\mathit{1}x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-6\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}x+3)}-x\}$$