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April 21, 2014

Homework Help: Differential Equations

Posted by Quinn on Thursday, January 17, 2013 at 10:08pm.

Model radioactive decay using the notation
t = time (independent variable)
r(t) = amount of particular radioactive isotope present at time t (dependent variable)
-λ = decay rate (parameter)
Note that the minus sign is used so that λ > 0
a) Using this notation, write a model for the decay of a particular radioactive isotope.
b) If the amount of the isotope present at t = 0 is r0, state the corresponding initial-value problem for the model in part (a).

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