2.351   ODE No. 351

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

$$y^{\prime }(x)\cos (y(x))-{\sin }^3(y(x))+x\sin (y(x)){\cos }^2(y(x))=0$$ ✓ Mathematica : cpu = 0.368184 (sec), leaf count = 61

$$\{\{y(x)\to -{\cot }^{-1}\left(\sqrt{e^{x^2}(4c_1-\sqrt{\pi }\text{erf}(x))}\right)\},\{y(x)\to {\cot }^{-1}\left(\sqrt{e^{x^2}(4c_1-\sqrt{\pi }\text{erf}(x))}\right)\}\}$$

✓ Maple : cpu = 0.51 (sec), leaf count = 55

$$\{y\left(x\right)=-\arcsin \left(\frac{1}{\sqrt{1-\sqrt{\pi }\mathit{E}\mathit{r}\mathit{f}\left(x\right){\mathrm{e}}^{x^2}-2\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{x^2}}}\right),y\left(x\right)=\arcsin \left(\frac{1}{\sqrt{1-\sqrt{\pi }\mathit{E}\mathit{r}\mathit{f}\left(x\right){\mathrm{e}}^{x^2}-2\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{x^2}}}\right)\}$$