3.567   ODE No. 567

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

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

Mathematica: cpu = 0.011001 (sec), leaf count = 21 $$\text{DSolve}[a\cos (y^{\prime }(x))+b{y}^{\prime }(x)+x=0,y(x),x]$$

Maple: cpu = 0.031 (sec), leaf count = 18 $$\{y\left(x\right)=\int \mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(a\cos \left(\mathit{\_}\mathit{Z}\right)+\mathit{\_}\mathit{Z}b+x)\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1}\}$$