3.349   ODE No. 349

$$\boxed{{\displaystyle x\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)\cot \left(\frac{y\left(x\right)}{x}\right)+2x\sin \left(\frac{y\left(x\right)}{x}\right)-y\left(x\right)\cot \left(\frac{y\left(x\right)}{x}\right)=0}}$$

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

Mathematica: cpu = 0.039005 (sec), leaf count = 15 $$\left\{\{y(x)\to x{\csc }^{-1}\left(2(c_1+\log (x))\right)\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 15 $$\{y\left(x\right)=\arcsin \left(\frac{1}{2\ln \left(x\right)+2\mathit{\_}\mathit{C}\mathit{1}}\right)x\}$$