Differential Equations Quiz
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FIRST-ORDER DIFFERENTIAL EQUATIONS
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The population of an endangered species is modeled by a logistic equation of the form dPdt=kP(1−P/500)\frac{dP}{dt} = kP(1 - P/500). Initially, the population is P(0)=50P(0) = 50. After 10 years, the population has grown to P(10)=100P(10) = 100. What is the value of the growth constant kk?
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