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Saturday, 31 October

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JEE Main 2021 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 31 August 2021, Shift 1, Maths Q71

Question 71 of 90 in this shift, Maths question 11 of 30, Section A.

If

\frac{dy}{dx}=\frac{2^{x+y}-2^x}{2^y}

,

y(0)=1

, then

y(1)

is equal to :

(1) $\log_2(2+\mathrm{e})$
(2) $\log_2(2\mathrm{e})$
(3) $\log_2(1+\mathrm{e}^2)$
(4) $\log_2(1+\mathrm{e})$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Differential Equations
Topic: Variable Separable Form
Idea tested: Exponential Sum/Difference Separation

Same idea in other shifts

Asked 2× in all

27 Jun 2022, Shift 1 · Q11If $\frac{dy}{dx}+\frac{2^{x-y}(2^y-1)}{2^x-1}=0$ , $x, y>0$ , $y(1)=1$ , then $y(2)$ is equal to :MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.