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If
to show that
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To prove:
and the mass balance law
Explanation of Solution
Given information:
Formula used:
Mass balance law
Proof:
Let the rate constant
Therefore, the input rate of the compartment
compartment
As
Therefore, the output rate of the drug from the compartment
compartment
By using mass balance law,
From the given figure, the input rate of the compartment
compartment
Also, the output rate of the drug from the compartment
compartment
By using mass balance law,
Therefore,
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Chapter 3 Solutions
Differential Equations: An Introduction to Modern Methods and Applications
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