3.357   ODE No. 357

$$\boxed{{\displaystyle x\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)\ln \left(x\right)\sin \left(y\left(x\right)\right)+\cos \left(y\left(x\right)\right)(1-x\cos \left(y\left(x\right)\right))=0}}$$

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

Mathematica: cpu = 0.317540 (sec), leaf count = 35 $$\{\{y(x)\to -{\sec }^{-1}\left(\frac{x-c_1}{\log (x)}\right)\},\{y(x)\to {\sec }^{-1}\left(\frac{x-c_1}{\log (x)}\right)\}\}$$

Maple: cpu = 0.406 (sec), leaf count = 13 $$\{y\left(x\right)=\arccos \left(\frac{\ln \left(x\right)}{x+\mathit{\_}\mathit{C}\mathit{1}}\right)\}$$