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CalculusSuperchallengeDifferential Equations

Differential Equations · Superchallenge problem

Use Euler's method with step size h=1h=1 and three steps to approximate P(3)P(3) for the logistic equation dPdt=0.5P(1−P100)\dfrac{dP}{dt}=0.5P\left(1-\dfrac{P}{100}\right) with P(0)=20P(0)=20. Give your answer as an exact decimal.