3.564   ODE No. 564

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

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

Mathematica: cpu = 0.042005 (sec), leaf count = 28 $$\left\{\{y(x)\to -\frac{e^{-c_1}(e^{c_1}{c}_1-ax)}{a}\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 36 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}x+\frac{\ln \left(\mathit{\_}\mathit{C}\mathit{1}\right)}{a},y\left(x\right)=\frac{1}{a}\ln (-\frac{1}{ax})-a^{-1}\}$$