3.993   ODE No. 993

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=-F\left(x\right)(-{\left(y\left(x\right)\right)}^2-2y\left(x\right)\ln \left(x\right)-{(\ln \left(x\right))}^2)+\frac{y\left(x\right)}{x\ln \left(x\right)}=0}}$$

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

Mathematica: cpu = 5232.495943 (sec), leaf count = 71 $$\left\{\{y(x)\to \frac{{\int }_1^x\frac{F(K[5])}{\sqrt{\frac{1}{{\log }^2(K[5])}}}dK[5]+c_1-1}{\sqrt{\frac{1}{{\log }^2(x)}}({\int }_1^x\frac{F(K[5])}{\sqrt{\frac{1}{{\log }^2(K[5])}}}dK[5])+c_1\sqrt{\frac{1}{{\log }^2(x)}}}\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 35 $$\{y\left(x\right)=-\frac{\ln \left(x\right)(\int -2\ln \left(x\right)F\left(x\right)\mathrm{d}x-\mathit{\_}\mathit{C}\mathit{1}-2)}{\int -2\ln \left(x\right)F\left(x\right)\mathrm{d}x-\mathit{\_}\mathit{C}\mathit{1}}\}$$