2.197   ODE No. 197

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

$$\cos (x)y^{\prime }(x)-y(x{)}^4-y(x)\sin (x)=0$$ ✓ Mathematica : cpu = 0.106088 (sec), leaf count = 98

$$\{\{y(x)\to \frac{1}{\sqrt[3]{-\sin (x)-2\sin (x){\cos }^2(x)+c_1{\cos }^3(x)}}\},\{y(x)\to -\frac{\sqrt[3]{-1}}{\sqrt[3]{-\sin (x)-2\sin (x){\cos }^2(x)+c_1{\cos }^3(x)}}\},\{y(x)\to \frac{(-1{)}^{2/3}}{\sqrt[3]{-\sin (x)-2\sin (x){\cos }^2(x)+c_1{\cos }^3(x)}}\}\}$$ ✓ Maple : cpu = 0.09 (sec), leaf count = 237

$$\{y\left(x\right)=\frac{1}{\mathit{\_}\mathit{C}\mathit{1}{(\sin \left(x\right))}^4+2\cos \left(x\right){(\sin \left(x\right))}^3-2\mathit{\_}\mathit{C}\mathit{1}{(\sin \left(x\right))}^2-3\cos \left(x\right)\sin \left(x\right)+\mathit{\_}\mathit{C}\mathit{1}}\sqrt[3]{\cos \left(x\right){(\mathit{\_}\mathit{C}\mathit{1}{(\sin \left(x\right))}^4+2\cos \left(x\right){(\sin \left(x\right))}^3-2\mathit{\_}\mathit{C}\mathit{1}{(\sin \left(x\right))}^2-3\cos \left(x\right)\sin \left(x\right)+\mathit{\_}\mathit{C}\mathit{1})}^2},y\left(x\right)=\frac{i\sqrt{3}-1}{2\mathit{\_}\mathit{C}\mathit{1}{(\sin \left(x\right))}^4+4\cos \left(x\right){(\sin \left(x\right))}^3-4\mathit{\_}\mathit{C}\mathit{1}{(\sin \left(x\right))}^2-6\cos \left(x\right)\sin \left(x\right)+2\mathit{\_}\mathit{C}\mathit{1}}\sqrt[3]{\cos \left(x\right){(\mathit{\_}\mathit{C}\mathit{1}{(\sin \left(x\right))}^4+2\cos \left(x\right){(\sin \left(x\right))}^3-2\mathit{\_}\mathit{C}\mathit{1}{(\sin \left(x\right))}^2-3\cos \left(x\right)\sin \left(x\right)+\mathit{\_}\mathit{C}\mathit{1})}^2},y\left(x\right)=-\frac{1+i\sqrt{3}}{2\mathit{\_}\mathit{C}\mathit{1}{(\sin \left(x\right))}^4+4\cos \left(x\right){(\sin \left(x\right))}^3-4\mathit{\_}\mathit{C}\mathit{1}{(\sin \left(x\right))}^2-6\cos \left(x\right)\sin \left(x\right)+2\mathit{\_}\mathit{C}\mathit{1}}\sqrt[3]{\cos \left(x\right){(\mathit{\_}\mathit{C}\mathit{1}{(\sin \left(x\right))}^4+2\cos \left(x\right){(\sin \left(x\right))}^3-2\mathit{\_}\mathit{C}\mathit{1}{(\sin \left(x\right))}^2-3\cos \left(x\right)\sin \left(x\right)+\mathit{\_}\mathit{C}\mathit{1})}^2}\}$$