2.820   ODE No. 820

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

$$y^{\prime }(x)=\frac{\csc (y(x))(\frac{1}{2}{x}^2\log (x)\cos (2y(x))+\frac{1}{2}{x}^2\log (x)-\cos (y(x)))}{x\log (x)}$$ ✓ Mathematica : cpu = 0.522236 (sec), leaf count = 63

$$\{\{y(x)\to -{\sec }^{-1}\left(\frac{-x^2+2x^2\log (x)-4c_1}{4\log (x)}\right)\},\{y(x)\to {\sec }^{-1}\left(\frac{-x^2+2x^2\log (x)-4c_1}{4\log (x)}\right)\}\}$$ ✓ Maple : cpu = 0.783 (sec), leaf count = 27

$$\{y\left(x\right)=\arccos \left(4\frac{\ln \left(x\right)}{2x^2\ln \left(x\right)-x^2+4\mathit{\_}\mathit{C}\mathit{1}}\right)\}$$