JEE Main 2014 — Differential Equations Question with Solution
From: JEE Main 2014 (Offline)
Question
Let the population of rabbits surviving at time be governed by the differential equation If then equals:
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Given differential equation is
By separating the variable, we get
Integrating on both the sides,
Let
So,
Using given condition
By separating the variable, we get
Integrating on both the sides,
Let
So,
Using given condition
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This is a previous-year question from JEE Main 2014, 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.