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JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 June 2022, Shift 1, Maths Q11

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

If

\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 :

(1) $2+\log_2 3$
(2) $2+\log_3 2$
(3) $2-\log_3 2$
(4) $2-\log_2 3$ 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

31 Aug 2021, Shift 1 · Q71If $\frac{dy}{dx}=\frac{2^{x+y}-2^x}{2^y}$ , $y(0)=1$ , then $y(1)$ 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.