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MHT CET 2023 Mathematics question

MathematicsDifferential EquationMHT CET 2023

The population P = P(t) at time t of certain species follows the differential equation . If P(0) = 850, then the time at which population becomes zero is

Answer: (A)

Solution

Separate variables: (since ). Integrate: , so . At , : . Hence . Population zero:

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Question ID VK-095370