JEE Main 2011MathematicsDifferential EquationsMediumMCQ

JEE Main 2011Differential Equations Question with Solution

JEE Main 2011

Question

Let I be the purchase value of an equipment and be the value after it has been used for t years. The value depreciates at a rate given by differential equation , where is a constant and is the total life in years of the equipment. Then the scrap value of the equipment is

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Show full solutionCorrect option: A
Correct answer
A

Step-by-step explanation

Integrate at

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About this question

This is a previous-year question from JEE Main 2011, 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.