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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.3 Growth and Decay in Science and Economics, #23 · Differential Equations · Applications

Most drugs in the bloodstream decay by … (first-order kinetics)

This problem involves $y_{0} e^{c t}$ . They ask for $c$ or $t$ or $y_{0}$ .

Most drugs in the bloodstream decay by $y^{'} = cy$ (first-order kinetics). (a) The half-life of morphine is 3 hours. Find its decay constant $c$ (with units). (b) The half-life of nicotine is 2 hours. After a six-hour flight what fraction remains?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.3 Growth and Decay in Science and Economics, #23

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