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Unformatted text preview: A decays to B with decay constant k 1 , and B further decays to nucleus C with decay constant k 2 : A → B and B → C (a) Describe this process as three ﬁrst-order linear ODEs. (b) Show that by combining the two d.e. involving dA dt and dB dt we can obtain the 2nd order linear ODE in B alone: d 2 B dt 2 + ( k 1 + k 2 ) dB dt + k 1 k 2 B = 0 (c) If k 1 ± = k 2 , solve this diFerential equation by knowing the initial condition A (0) = A and B (0) = 0. 1...
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This note was uploaded on 01/15/2012 for the course MATH 201 taught by Professor Steacy during the Fall '10 term at University of Victoria.
- Fall '10