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Differential Equationshard
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The Gompertz growth model is given by dPdt=kPln⁡(MP)\frac{dP}{dt} = kP \ln(\frac{M}{P})dtdP​=kPln(PM​). Using the substitution v=ln⁡(P)v = \ln(P)v=ln(P), what is the resulting linear ODE?