2.957   ODE No. 957

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

$$y^{\prime }(x)=\frac{y(x)(y(x)e^{\frac{2{\log }^2(x)}{\log (x)+1}}{x}^{\frac{2}{\log (x)+1}+3}+y(x)e^{\frac{2{\log }^2(x)}{\log (x)+1}}{\log }^2(x)x^{\frac{2}{\log (x)+1}+3}+2y(x)e^{\frac{2{\log }^2(x)}{\log (x)+1}}\log (x)x^{\frac{2}{\log (x)+1}+3}-e^{\frac{2{\log }^2(x)}{\log (x)+1}}{x}^{\frac{2}{\log (x)+1}+3}-e^{\frac{2{\log }^2(x)}{\log (x)+1}}\log (x)x^{\frac{2}{\log (x)+1}+3}-1)}{x(\log (x)+1)}$$ ✓ Mathematica : cpu = 1.15963 (sec), leaf count = 28

$$\left\{\{y(x)\to \frac{1}{(1+c_1{e}^{\frac{x^5}{5}})(\log (x)+1)}\}\right\}$$ ✓ Maple : cpu = 0.455 (sec), leaf count = 79

$$\{y\left(x\right)=\frac{1}{\ln \left(x\right)+1}{\mathrm{e}}^{-\frac{x^5}{5}}{(x^{-2\frac{\ln \left(x\right)}{\ln \left(x\right)+1}}(\ln \left(x\right)+1){\mathrm{e}}^{\frac{(-5\ln \left(x\right)-5)\ln (\ln \left(x\right)+1)-x^5\ln \left(x\right)-x^5+10{(\ln \left(x\right))}^2}{5\ln \left(x\right)+5}}+\mathit{\_}\mathit{C}\mathit{1})}^{-1}\}$$