Solved: The rate of growth of a tumor is proportional to the size of the tumor. (a)

Chapter 0, Problem 34

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The rate of growth of a tumor is proportional to the size of the tumor. (a) Write a differential equation satisfied by S, the size of the tumor, in mm, as a function of time, t. (b) Find the general solution to the differential equation. (c) If the tumor is 5 mm across at time t = 0, what does that tell you about the solution? (d) If, in addition, the tumor is 8 mm across at time t = 3, what does that tell you about the solution?

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