3.193   ODE No. 193

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

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

Mathematica: cpu = 0.007501 (sec), leaf count = 16 $$\left\{\{y(x)\to ax+\frac{c_1}{\log (x)}\}\right\}$$

Maple: cpu = 0.0 (sec), leaf count = 14 $$\{y\left(x\right)=ax+\frac{\mathit{\_}\mathit{C}\mathit{1}}{\ln \left(x\right)}\}$$