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
- A 8 lakhs
- B 12 lakhs
- C 9 lakhs
- D 10 lakhs
Answer & Solution
Correct Answer
(C) 9 lakhs
Step-by-step Solution
Detailed explanation
\(P(t) = P_0 e^{kt}\) \(6 = 4 e^{20k} \implies e^{20k} = \frac{6}{4} = \frac{3}{2}\)
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