The following system of differential equations is encountered in the study of the decay of a special

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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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