2.349   ODE No. 349

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

$$x{y}^{\prime }(x)\cot \left(\frac{y(x)}{x}\right)+2x\sin \left(\frac{y(x)}{x}\right)-y(x)\cot \left(\frac{y(x)}{x}\right)=0$$ ✓ Mathematica : cpu = 0.0406297 (sec), leaf count = 15

$$\left\{\{y(x)\to x{\csc }^{-1}\left(2(c_1+\log (x))\right)\}\right\}$$

✓ Maple : cpu = 0.034 (sec), leaf count = 15

$$\{y\left(x\right)=\arcsin \left(\frac{1}{2\ln \left(x\right)+2\mathit{\_}\mathit{C}\mathit{1}}\right)x\}$$