3.566   ODE No. 566

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

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

Mathematica: cpu = 0.010001 (sec), leaf count = 19 $$\text{DSolve}[y^{\prime }(x)+\sin (y^{\prime }(x))-x=0,y(x),x]$$

Maple: cpu = 0.031 (sec), leaf count = 16 $$\{y\left(x\right)=\int \mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(\mathit{\_}\mathit{Z}+\sin \left(\mathit{\_}\mathit{Z}\right)-x)\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1}\}$$