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 = 0.0453682 (sec), leaf count = 38

$$\text{Solve}[\{x=K[1]+\sin (K[1]),y(x)=\frac{K[1{]}^2}{2}+K[1]\sin (K[1])+\cos (K[1])+c_1\},\{y(x),K[1]\}]$$ ✓ Maple : cpu = 0.041 (sec), leaf count = 16

$$\{y\left(x\right)=c_1+\int \mathrm{RootOf}(\mathit{\text{\_Z}}-x+\sin \left(\mathit{\text{\_Z}}\right))dx\}$$