The following system of differential equations is encountered in the study of the decay of a special
Question:
The following system of differential equations is encountered in the study of the decay of a special type of radioactive series of elements:
dx/dt = λ1x
dy/dt = λ1x – λ2y,
where λ1 and λ2 are constants. Discuss how to solve this system subject to x(0) = x0, y(0) = y0. Carry out your ideas.
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The solution of the first equation is x c 1 e 1 t From x0 x 0 we obtain c 1 x ...View the full answer
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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