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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, #39 · Differential Equations · Applications

Rewrite … as

Rewrite $y^{'} = y + e^{t}$ as $y^{'} - y = e^{t}$ . Multiplying by $e^{- t}$ , the left side is the derivative of ______. Integrate both sides from $y_{0} = 0$ to find $y (t)$ .

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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, #39

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