imo class 12 differential equations

A bacteria culture doubles continuously. The suitable differential equation is:

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A bacteria culture doubles continuously. The suitable differential equation is:

  • A. dP/dt=kP
  • B. dP/dt=k
  • C. dP/dt=P²
  • D. dP/dt=t

Answer: A) dP/dt=kP

Explanation: Growth rate proportional to population gives exponential growth.

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