Question

Consider the equation

y'=y(y-20)(y-100)

Suppose y(5)=lambda and the limit as t --> infinity y(t)=20. Find all possible values of lambda.

How do you solve this problem?

Answer 1

i got no idea at first except maybe to expand the right side into a polynomial

Answer 2

this might be separable .....

Answer 3

i think i see it ..

separate it and partial fraction the ys

Answer 4

im assuming of course that y' means dy/dx