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:<math>\frac{dy}{dt} + \alpha y = 0, y(1)=2, y(2)=1</math>
gives <math>\alpha = \ln(2)</math> and <math>y = 4 e^{-\ln(2) t}= 2^{2-t}</math>.
==Non-separable (non-homogeneous) first-order linear ordinary differential equations==
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