3.9   ODE No. 9

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

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

Mathematica: cpu = 0.015502 (sec), leaf count = 19 $$\left\{\{y(x)\to c_1{e}^{ax+x\sin (\log (x))}\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 16 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\sin (\ln \left(x\right))x+ax}\}$$

Sage: cpu = 0.004 (sec), leaf count = 0 $$[c{e}^{(ax+\frac{1}{2}x(\cos (\log \left(x\right))+\sin (\log \left(x\right)))-\frac{1}{2}x(\cos (\log \left(x\right))-\sin (\log \left(x\right))))},\mathtt{\text{linear}}]$$