2.21   ODE No. 21

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

$$y^{\prime }(x)-y(x{)}^2+y(x)\sin (x)-\cos (x)=0$$ ✓ Mathematica : cpu = 6.52575 (sec), leaf count = 69

$$\left\{\{y(x)\to -\frac{c_1(1-\sin (x)e^{\cos (x)}({\int }_1^x{e}^{-\cos (K[1])}dK[1]))-\sin (x)e^{\cos (x)}}{c_1{e}^{\cos (x)}{\int }_1^x{e}^{-\cos (K[1])}dK[1]+e^{\cos (x)}}\}\right\}$$

✓ Maple : cpu = 0.126 (sec), leaf count = 25

$$\{y\left(x\right)=-\frac{{\mathrm{e}}^{-\cos \left(x\right)}}{\mathit{\_}\mathit{C}\mathit{1}+\int {\mathrm{e}}^{-\cos \left(x\right)}\mathrm{d}x}+\sin \left(x\right)\}$$