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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, #35 · Differential Equations · Applications

(a) What value … constant solves

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

(a) What value $y =$ constant solves $d y / d t = - 2 y + 12$ ?
(b) Find the solution with an arbitrary constant $A$ .
(c) What solutions start from $y_{0} = 0$ and $y_{0} = 10$ ?
(d) What is the steady state $y_{\infty}$ ?

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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, #35

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