The rate of decay in the mass, M, of a radioactive substance is given by the differential equation (dM/dt) =-kM, where k is a positive constant. If the initial mass was 100g, then find the expression for the mass, M, at any time t.
a. M = e^−kt
b. M = 100 e^−kt
c. M = 100 e^kt
d. M = 100ln(kt)

Question

The rate of decay in the mass, M, of a radioactive substance is given by the differential equation (dM/dt) =-kM, where k is a positive constant. If the initial mass was 100g, then find the expression for the mass, M, at any time t.
a. M = e^−kt
b. M = 100 e^−kt
c. M = 100 e^kt
d. M = 100ln(kt)

anonymous · Answer

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dan815 · Answer

You can solve the differential equation by using separation of variables method

dan815 · Answer

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