Differential equations have been used extensively in the study of drug dissolution for

Chapter 9, Problem 17

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Differential equations have been used extensively in the study of drug dissolution for patients given oral medications. One such equation is the Weibull equation for the concentration cstd of the drug: dc dt k t b scs 2 cd where k and cs are positive constants and 0 , b , 1. Verify that cstd cs(1 2 e2t 12b ) is a solution of the Weibull equation for t . 0, where kys1 2 bd. What does the differential equation say about how drug dissolution occurs?

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