Reread Problem 41 in Exercises 1.1 and then give an explicit solution P(t) for equation (1). Find a one parameter family of solutions of (1).
(reference problem 41 of section 1.1)
What function do you know from calculus is such that its first derivative is itself? Its first derivative is a constant multiple k of itself? Write each answer in the form of a first-order differential equation with a solution.
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