The matrix of coefficients for the system of differentia
Question and Solution
The matrix of coefficients for the system of differential equations describing the radioactive decay process in Problem
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The matrix of coefficients for the system of differential equations describing the radioactive decay process in Problem 17, Section 6.3, is A = ? ? ? ? ? ?k1 0 0 k1 ?k2 0 0 k2 0 ? ? ? ? ? . Use a computer algebra system to find the fundamental matrix eAt and use the result to solve the initial value problem m? = Am, m(0) = (m0, 0, 0)T , where the components of m = (m1, m2, m3) T are the amounts of each of the three substances R1, R2, and R3, th
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