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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, #36 · Differential Equations · Applications

Choose … signs in … to achieve the following results starting from…

This problem is about solutions of $y^{'} = cy + s$ .

Choose $\pm$ signs in $d y / d t = \pm 3 y \pm 6$ to achieve the following results starting from $y_{0} = 1$ . Draw graphs.
(a) $y$ increases to $\infty$
(b) $y$ increases to 2
(c) $y$ decreases to $- 2$
(d) $y$ decreases to $- \infty$

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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, #36

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