What is the horizontal asymptote for y(t) for the differential equation?

Question

What is the horizontal asymptote for y(t) for the differential equation  ?

A	y = 50
B	y = 10
C	y = 2
D

Answer 1

This is a logistic differential equation in which the growth rate is equal to r=5 and the carrying capacity K=10.

The solution to the logistic differential equation, as t tends to infinity, tends to the carrying capacity K.

Therefore, they asymptote is y=10.

Best,

Davide