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Differential Equationshard
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A population of organisms is modeled by dPdt=αP−βP3\frac{dP}{dt} = \alpha P - \beta P^3dtdP​=αP−βP3. If we perform the transformation v=P−2v = P^{-2}v=P−2, what is the resulting linear first-order differential equation for v(t)v(t)v(t)?