The differential equation governing the decay of a certain radioactive substance through time is dq -4qt dt where q is the amount of radioactive substance and t is the time. At time t = 0, the initial amount of radioactive substance present is q = Qo, determine the remaining amount of the radioactive substance in the form of the explicit function q = f(t).
The differential equation governing the decay of a certain radioactive substance through time is dq -4qt dt where q is the amount of radioactive substance and t is the time. At time t = 0, the initial amount of radioactive substance present is q = Qo, determine the remaining amount of the radioactive substance in the form of the explicit function q = f(t).
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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![The differential equation governing the decay of a certain radioactive substance through time is
dq
-4qt3
dt
where q is the amount of radioactive substance and t is the time. At time t = 0, the initial amount of radioactive
substance present is q = Qo, determine the remaining amount of the radioactive substance in the form of the
explicit function q = f(t).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff685d54c-a23d-4b43-b0df-6c3d837473e4%2F1558ff66-1408-4eaa-bdc1-c929e5e9b8ae%2Fkjfhua4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The differential equation governing the decay of a certain radioactive substance through time is
dq
-4qt3
dt
where q is the amount of radioactive substance and t is the time. At time t = 0, the initial amount of radioactive
substance present is q = Qo, determine the remaining amount of the radioactive substance in the form of the
explicit function q = f(t).
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