JEE Main 2020MathematicsDifferential EquationsLinear Differential EquationsmediumMCQ

JEE Main 2020Differential Equations Question with Solution

From: JEE Main 2020 (Online) 2nd September Morning Slot

Question

Let y = y(x) be the solution of the differential equation,
, y > 0,y(0) = 1.
If y() = a and at x = is b, then the ordered pair (a, b) is equal to :

Choose an option

Show full solutionCorrect option: D
Correct answer
D(1, 1)

Step-by-step explanation









As y(0) = 1



c = 4

= 4

y =

Given y() = a

y() = = 1 = a



1 = b

So, (a, b) = (1, 1)

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About this question

This is a previous-year question from JEE Main 2020, 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.