Tractrix? help

[edumat]

Hello,

I need some help with this exercise:



What I have got so far is:
\(\displaystyle \frac{dy}{dx} = tg θ = \frac{-y}{\sqrt{16-y^2}} \)
But now I'm stuck, since I don't know how to integrate that

 

[Deleted member 4993]

Hello,

I need some help with this exercise:
View attachment 3108


What I have got so far is:
\(\displaystyle \frac{dy}{dx} = tg θ = \frac{-y}{\sqrt{16-y^2}} \)
But now I'm stuck, since I don't know how to integrate that

substitute

y = 4 cos(α)

dy = - 4 sin(α) dα

and continue....