Question

Differential Equations: Consider the equation:
y' = y(y-20)(y-100)
Suppose y(5) = lambda and the limit as t--> infinity of y(t) = 20, find all the possible values of lambda

Answer 1

the answer choices are:
a) lambda = 20
b) 0 < lambda < 20
c) 0 < lambda < 100
d) 20 < lambda < 100

Answer 2

eigenvalue problem?

Answer 3

i'm not really sure; if it is, i don't know how to set it up.