Question: 1 ) how should find phase line how should should i know when is equilibrium point is stable unstable, semistable. Consider the following autonomous equation:

1) how should find phase line how should should i know when is equilibrium point is stable unstable, semistable.
Consider the following autonomous equation:
dy/ dt =(e^y 1)(4 y^2)(y 3)^2
(a) Find the equilibrium points
(b) Draw the phase line
(c)Classify the equilibrium points as stable, semistable, or un-
stable.
(d) Suppose y(t) is a solution to the initial value problem
(dy
dt =(e^y 1)(4 y2)(y 3)2
y(0)=1/5
,
Find limt y(t). Justify your answer.

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