Biomedical Engineering > GATE 2023 > Differential Equations
The time-dependent growth of a bacterial population is governed by the equation
dx/dt=x(1-(x/200)),
where x is the population size at time t. The initial population size is x0=100 at t=0. As t→∞, the population size of bacteria asymptotically approaches _______.
A
150
B
200
C
300
D
500

Correct : b

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GATE Biomedical Engineering 2023 GATE BM 2023 Q36 bacterial population growth logistic growth differential equation asymptotic population size carrying capacity differential equation population growth model dx dt

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