2.362   ODE No. 362

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

$$y^{\prime }(x)(x^{2}y(x)\sin (xy(x))-4x)-y(x)+xy(x{)}^2\sin (xy(x))=0$$ ✓ Mathematica : cpu = 0.318033 (sec), leaf count = 23

$$\text{Solve}[-4\log (y(x))-\cos (xy(x))-\log (x)=c_1,y(x)]$$ ✓ Maple : cpu = 0.207 (sec), leaf count = 23

$$\{y\left(x\right)=\frac{1}{x}\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-\mathit{\_}\mathit{Z}+{\mathrm{e}}^{-\frac{\cos \left(\mathit{\_}\mathit{Z}\right)}{4}}\mathit{\_}\mathit{C}\mathit{1}{x}^{\frac{3}{4}})\}$$