3.152   ODE No. 152

$$\boxed{{\displaystyle (x^2+1)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+x\sin \left(y\left(x\right)\right)\cos \left(y\left(x\right)\right)-x(x^2+1){(\cos \left(y\left(x\right)\right))}^2=0}}$$

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

Mathematica: cpu = 0.242031 (sec), leaf count = 40 $$\left\{\{y(x)\to {\tan }^{-1}\left(\frac{-6c_1\sqrt{x^2+1}+x^4+2x^2+1}{3(x^2+1)}\right)\}\right\}$$

Maple: cpu = 0.530 (sec), leaf count = 25 $$\{y\left(x\right)=\arctan \left(\frac{1}{3}({(x^2+1)}^{\frac{3}{2}}+3\mathit{\_}\mathit{C}\mathit{1})\frac{1}{\sqrt{x^2+1}}\right)\}$$