Question: Build a numerical solution for the following initial value problems. Plot your data to observe patterns in the solution. Is there an equilibrium solution? Is

Build a numerical solution for the following initial value problems. Plot your data to observe patterns in the solution. Is there an equilibrium solution? Is it stable or unstable?

a. an +1 -1.2an+50, ao 1000

b. an+I 0.8an 100, ao = 500

c. an+1 100, ao -500 = = 0.8an - 100,

d. an+1 -0.8an +100, do ao = 1000

e. an+1 = an - 100, ao = 1000

an+1 -1.2an +50, ao 1000

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