JEE Main 2012 — Differential Equations Question with Solution
From: AIEEE 2012
Question
The population at time of a certain mouse species satisfies the differential equation If then the time at which the population becomes zero is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Given differential equation is
Integrate both sides, we get
We have,
when
Let
Integrate both sides, we get
We have,
when
Let
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This is a previous-year question from JEE Main 2012, covering the Differential Equations chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.