The one-parameter family has equilibria at and

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

The one-parameter family

\dfrac{dy}{dx}=(p-y)(y-1)

has equilibria at

y=1

and

y=p

. Determine all values of the parameter

p

for which the equilibrium at

y=1

is stable, and justify your answer in one sentence.