2.993   ODE No. 993

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

$$y^{\prime }(x)=\frac{y(x)}{x\log (x)}-F(x)(-y(x{)}^2-2y(x)\log (x)-{\log }^2(x))$$ ✓ Mathematica : cpu = 1.43647 (sec), leaf count = 73

$$\left\{\{y(x)\to \frac{{\int }_1^x\frac{F(K[5])}{\sqrt{\frac{1}{{\log }^2(K[5])}}}dK[5]-1+c_1}{\sqrt{\frac{1}{{\log }^2(x)}}{\int }_1^x\frac{F(K[5])}{\sqrt{\frac{1}{{\log }^2(K[5])}}}dK[5]+c_1\sqrt{\frac{1}{{\log }^2(x)}}}\}\right\}$$ ✓ Maple : cpu = 0.164 (sec), leaf count = 35

$$\{y\left(x\right)=-\frac{\ln \left(x\right)(\int -2\ln \left(x\right)F\left(x\right)\mathrm{d}x-\mathit{\_}\mathit{C}\mathit{1}-2)}{\int -2\ln \left(x\right)F\left(x\right)\mathrm{d}x-\mathit{\_}\mathit{C}\mathit{1}}\}$$