Consider with

MATHEMATICS · Subjective · AP · Calculus BC · Differential Equations · Differential Equations

Problem

Consider

\dfrac{dy}{dx}=y\left(1-\dfrac{y}{b}\right)

with

b>0

. For a solution satisfying

0<y(0)<b

, explain how the long-term limiting value of

y

changes when

b

is doubled.