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 = 0.204471 (sec), leaf count = 28

$$\left\{\{y(x)\to \frac{1}{(c_1{e}^{\frac{x^5}{5}}+1)(\log (x)+1)}\}\right\}$$

✓ Maple : cpu = 0.054 (sec), leaf count = 197

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