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  3. need help with part a only thanks in advance...

Question: need help with part a only thanks in advance...

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4. The differential equation (DE) (where k is a positive constant) says that the rate of change of f is proportional to f. The k on the left-hand side of the DE is called the exponential grouth rate. (a) Show that the DE has solutions of the form, f) - Aet where A can be any constant, and c can be expressed in terms of k. (b) A similar DE is dtt has a growth rate that decreases as t increases. Verify whether or not this second DE describes expenential growth. (In other words: does the DE have a solution of the form Aed, for some constant d?) 32

Need help with part A only. Thanks in advance

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