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Please answer all parts of Question 1. Please show all work and all steps. 1a.) Find...

Please answer all parts of Question 1. Please show all work and all steps.

1a.) Find the equilibrium of

x' = x + 1

y' = x + 3y - 1

1b.) Find a, b such that the equilbrium of

x' = x + 3y + a

y' = x - y + b

is (1,2)

1c.) Find alpha, beta such that

x' = (alpha)(x) + y

y' = -2x + (beta)(y)

is hamiltonian.

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