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JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 September 2020, Shift 2, Maths Q62

Question 62 of 75 in this shift, Maths question 12 of 25.

If

x^3 dy + xy\, dx = x^2 dy + 2y\, dx

;

y(2) = e

and

x > 1

, then

y(4)

is equal to :

(1) $\frac{3}{2} + \sqrt{e}$
(2) $\frac{1}{2} + \sqrt{e}$
(3) $\frac{\sqrt{e}}{2}$
(4) $\frac{3}{2}\sqrt{e}$ Official answer

Official answer

Option 4

NTA final key (Sep 2020).

Chapter: Differential Equations
Topic: Variable Separable Form
Idea tested: Separability Check

Same idea in other shifts

Asked 2× in all

6 Apr 2024, Shift 2 · Q26If the solution $y(x)$ of the given differential equation $(e^y+1)\cos x\,dx+e^y\sin x\,dy=0$ passes through the point…EasyNumerical value

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.