JEE Main 2021MathematicsDifferential EquationsSolution Of Differential Equations By Method Of Separation Variables And HomogeneousmediumNumerical

JEE Main 2021 — Differential Equations Question with Solution

From: JEE Main 2021 (Online) 27th July Evening Shift

Question

Let y = y(x) be the solution of the differential equation dy = ex + y dx; N. If y(loge2) = loge2 and y(0) = loge, then the value of is equal to _____________.

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Show full solutionCorrect answer: 2
Correct answer
2

Step-by-step explanation



..... (i)

Put (x, y) = (ln2, ln2)

..... (ii)

Put (x, y) (0, ln2) in (i)

..... (iii)

(ii) (iii)



= 2 (as N)

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About this question

This is a previous-year question from JEE Main 2021, 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.