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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, #26 · Differential Equations · Applications

The actual elimination of nicotine is multiexponential:

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

The actual elimination of nicotine is multiexponential: $y = A e^{c t} + B e^{C t}$ . The first-order equation $(d / d t - c) y = 0$ changes to the second-order equation $(d / d t - c) (d / d t - C) y = 0$ . Write out this equation starting with $y^{''}$ , and show that it is satisfied by the given $y$ .

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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, #26

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