2.359   ODE No. 359

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

$$3\sin (x)y^{\prime }(x)\sin (y(x))+5y(x){\cos }^4(x)=0$$ ✓ Mathematica : cpu = 0.0575549 (sec), leaf count = 45

$$\left\{\{y(x)\to {\text{SinIntegral}}^{(-1)}(c_1-\frac{5}{3}(\frac{5\cos (x)}{4}+\frac{1}{12}\cos (3x)+\log (\sin \left(\frac{x}{2}\right))-\log (\cos \left(\frac{x}{2}\right))))\}\right\}$$

✓ Maple : cpu = 0.054 (sec), leaf count = 28

$$\{\frac{\cos \left(3x\right)}{12}+\frac{5\cos \left(x\right)}{4}+\ln (\csc \left(x\right)-\cot \left(x\right))+\frac{3\mathit{S}\mathit{i}\left(y\left(x\right)\right)}{5}+\mathit{\_}\mathit{C}\mathit{1}=0\}$$