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MHT CET · Maths · Differential Equations

The rate at which the population of a city increases varies as the population. In a period of 20 years, the population increased from 4 lakhs to 6 lakhs. In another 20 years the population will be

  1. A 8 lakhs
  2. B 12 lakhs
  3. C 9 lakhs
  4. D 10 lakhs
Verified Solution

Answer & Solution

Correct Answer

(C) 9 lakhs

Step-by-step Solution

Detailed explanation

\(P(t) = P_0 e^{kt}\) \(6 = 4 e^{20k} \implies e^{20k} = \frac{6}{4} = \frac{3}{2}\)