For a first order system of differential equations, answer the following:
a. What is meant by an orbit?
b. Can two distinct orbit intersect if the system has constant coefficients given by a square matrix A? Why or why not?
c. Explain what is meant by a constant steady state for x' = Ax + F
d. Describe, as precisely as possible, the orbits of the planar x' = Ax + F if the 2x2 matrix A has eigenvalues -2+5i and -2-5i.
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