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Mathematics, 03.12.2019 02:00 neekobecky599

Bloodstream at a constant rate r. as the glucose is added, it is converted into other substances and removed from the bloodstream at a rate that is proportional to the concentration at that time. thus a model for the concentration c − cstd of the glucose solution in the bloodstream is dc/dt=r-kc

where r an dk are positive constants.

1. suppose that the concentration at time t=0 is c0. determine the concentration at any time t by solving the differential equation.

2. assuming that c0

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