8.4.1.7 Stability of the systems of equations

Problem: Find the resting points (equilibrium) of the system and investigate the stability of the system at these points: $$\{\begin{array}{l}\frac{dy}{dt}=C\cdot \arcsin \frac{Bx}{\sqrt{1+(Bx{)}^2}}+A\tan (Dy)\\ \frac{dx}{dt}=A\cdot \mathrm{th}(By)+D\cdot x{e}^{-\frac{C}{D}x}\end{array}$$ $$\text{Unknown environment 'tabular'}$$