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Answer:
Step-by-step explanation:
a. Draw a direction field for the given differential equation
b. Based on the inspection of the direction field, describe ow solutions behave for large t.
The solution appear oscillatory
All solutions seems to converge to the function y0(t)=4
All solutions seems to converge to the function y0(t)=0
All solutions seems to seems to eventually have negative slopes a and hence decrease without bound
All solutions seems to seems to eventually have positive slopes a and hence increase without bound
C
As t-infinity
All solutions seems to seems to eventually have positive slopes a and hence decrease without bound
All solutions seems to converge to the function y0(t)=0
All solutions seems to seems to eventually have negative slopes a and hence decrease without bound
All solutions seems to converge to the function y0(t)=4
The solution are oscillatory
