Problem

Problem

A stable nuclei

C

is formed from two radioactive nuclei

A

and

B

with decay constant of

\lambda_1

and

\lambda_2

respectively. Initially, the number of nuclei of

A

is

N_0

and that of

B

is zero. Nuclei

B

are produced at a constant rate of

P

. Find the number of the nuclei of

C

after time

t

.

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