(a) Find the equilibrium solutions of the following dierential equations. You should find three
y*= y^3-6y^2+ 11y-6
(b) Draw the phase line diagram

Question

(a) Find the equilibrium solutions of the following dierential equations. You should find three
y*= y^3-6y^2+ 11y-6
(b) Draw the phase line diagram

anonymous · Answer

ok so $$y' = y ^{3} -6y^{2} +11y - 6$$
factoring the right side you get

(y-1)(y-2)(y-3) = 0
so for the solutions it is y =1, y=2 y=3

mathteacher1729 · Answer

Nicely done Robots!

anonymous · Answer

Thank you but how exactly did you factor it? that's my main issue.

mathteacher1729 · Answer

You could try using the rational roots theorem, then using polynomial long division.  It's not pretty, but it would work.

anonymous · Answer

thank you! i'll look that up : )