JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 27 January 2024, Shift 1, Maths Q27

Question 27 of 90 in this shift, Maths question 27 of 30, Section B.

If the solution of the differential equation

(2x+3y-2)\,dx+(4x+6y-7)\,dy=0

y(0)=3

, is

\alpha x+\beta y+3\log_e|2x+3y-\gamma|=6

, then

\alpha+2\beta+3\gamma

is equal to ________.

Official answer

NTA final key.

Chapter: Differential Equations
Topic: Variable Separable Form
Idea tested: Reducible to Separable (Parallel Lines Case)

Same topic in other shifts

All Variable Separable Form questions

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8 Apr 2024, Shift 1 · Q13Let $y=y(x)$ be the solution of the differential equation $(1+y^2)e^{\tan x}dx+\cos^2x\,(1+e^{2\tan x})dy=0$ , $y(0)=1$ . Then…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.