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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, #58 · Differential Equations · Applications

If … what is

These problems approach a steady state $y_{\infty}$ as $t \to \infty$ .

If $d y / d t = - y + 7$ what is $y_{\infty}$ ? What is the derivative of $y - y_{\infty}$ ? Then $y - y_{\infty}$ equals $y_{0} - y_{\infty}$ times ____.

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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, #58

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