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Engineering, 18.03.2020 22:32 02lesmun16219

Differential equations (40 pts) Consider a certain radioactive isotope sample with an initial mass, M0. It is observed that the mass of radioactive sample decays with time. The rate of mass decay at time t is proportional to the mass M(t) at that moment. The constant of proportionality is the decay rate constant, r > 0. The rate of mass decay is given by dM(t) dt = −rM(t). (1) (a) (20 pts) Solve the differential equation (1) to determine the mass of the sample at a given time.

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Differential equations (40 pts) Consider a certain radioactive isotope sample with an initial mass,...

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