2.566   ODE No. 566

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

$$y^{\prime }(x)+\sin (y^{\prime }(x))-x=0$$ ✗ Mathematica : cpu = 0.0110075 (sec), leaf count = 0 , could not solve

DSolve[-x + Sin[Derivative[1][y][x]] + Derivative[1][y][x] == 0, y[x], x]

✓ Maple : cpu = 0.032 (sec), leaf count = 16

$$\{y\left(x\right)=\int \mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(\mathit{\_}\mathit{Z}+\sin \left(\mathit{\_}\mathit{Z}\right)-x)\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1}\}$$