2.567   ODE No. 567

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

$$a\cos (y^{\prime }(x))+b{y}^{\prime }(x)+x=0$$ ✓ Mathematica : cpu = 0.0902049 (sec), leaf count = 49

$$\text{Solve}[\{y(x)=a\sin (K[1])-aK[1]\cos (K[1])-\frac{1}{2}bK[1{]}^2+c_1,x=-a\cos (K[1])-bK[1]\},\{y(x),K[1]\}]$$ ✓ Maple : cpu = 0.055 (sec), leaf count = 18

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