Radioactive nuclei decay according to the law: dN -AN. dt N is the concentration of a given nuclide and A is the particular decay constant. In a radioactive series of two different nuclides, with concentrations N1(t) and N2(t), we have: dN1 =-\1N1. dt dN2 = A1N1 – A,N2. dt Find N2(t) for the conditions N1(0) = No and N2(0) = 0.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Radioactive nuclei decay according to the law:
dN
-AN.
dt
N is the concentration of a given nuclide and A is the particular decay constant.
In a radioactive series of two different nuclides, with concentrations N1(t) and
N2(t), we have:
dN1
=-\1N1.
dt
dN2
= A1N1 – A,N2.
dt
Find N2(t) for the conditions N1(0) = No and N2(0) = 0.
Transcribed Image Text:Radioactive nuclei decay according to the law: dN -AN. dt N is the concentration of a given nuclide and A is the particular decay constant. In a radioactive series of two different nuclides, with concentrations N1(t) and N2(t), we have: dN1 =-\1N1. dt dN2 = A1N1 – A,N2. dt Find N2(t) for the conditions N1(0) = No and N2(0) = 0.
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