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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 ﬁrstorder 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
 STEACY

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