3.81   ODE No. 81

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

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

Mathematica: cpu = 43.305499 (sec), leaf count = 19 $$\text{DSolve}[y^{\prime }(x)+2\tan (x)\tan (y(x))-1=0,y(x),x]$$

Maple: cpu = 0.827 (sec), leaf count = 78 $$\{\mathit{\_}\mathit{C}\mathit{1}+\tan \left(x\right)\frac{1}{\sqrt[4]{\frac{(1+{(\tan \left(y\left(x\right)\right))}^2)(1+{(\tan \left(x\right))}^2)}{{(\tan \left(y\left(x\right)\right)\tan \left(x\right)-1)}^2}}}+\frac{\tan \left(y\left(x\right)\right)+\tan \left(x\right)}{2\tan \left(y\left(x\right)\right)\tan \left(x\right)-2}{}_2\text{F}{}_1(\frac{1}{2},\frac{5}{4};\frac{3}{2};-\frac{{(\tan \left(y\left(x\right)\right)+\tan \left(x\right))}^2}{{(\tan \left(y\left(x\right)\right)\tan \left(x\right)-1)}^2})=0\}$$