JEE Main 2014 — Differential Equations Question with Solution
JEE Main 2014 (11 Apr Online)
Question
If the general solution of the differential equation , for some function , is given by , where is an arbitrary constant, then is equal to:
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Given
Let so that or
from (1) \& (2), or,
Integrating both sides, we get
(where being constant of integration)
But, given is the general solution
so that
Differentiating w.r.t both sides, we get
when i.e.
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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.