3.921   ODE No. 921

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=-(-\frac{\ln \left(y\left(x\right)\right)}{x}+\frac{\ln \left(y\left(x\right)\right)}{x\ln \left(x\right)}-\mathit{\_}\mathit{F}\mathit{1}\left(x\right))y\left(x\right)=0}}$$

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

Mathematica: cpu = 2.718845 (sec), leaf count = 52 $$\text{Solve}[\text{ConditionalExpression}[{\int }_1^x(\frac{\log (y(x))-\log (y(x))\log (K[1])}{K[1{]}^2}-\frac{\log (K[1])\mathrm{\_}\text{F1}(K[1])}{K[1]})dK[1]=c_1,\mathrm{\Re }(x)>0\vee x\notin \mathbb{R}],y(x)]$$

Maple: cpu = 0.093 (sec), leaf count = 30 $$\{y\left(x\right)={\mathrm{e}}^{\frac{x\mathit{\_}\mathit{C}\mathit{1}}{\ln \left(x\right)}}{\mathrm{e}}^{\frac{x}{\ln \left(x\right)}\int \frac{\mathit{\_}\mathit{F}\mathit{1}\left(x\right)\ln \left(x\right)}{x}\mathrm{d}x}\}$$