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Saturday, 31 October

JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 8 April 2024, Shift 2, Maths Q27

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

Let α∣x∣=∣y∣exy−β\alpha|x| = |y|e^{xy-\beta}, α,β∈N\alpha, \beta \in \mathbb{N} be the solution of the differential equation x dy−y dx+xy(x dy+y dx)=0x\,dy - y\,dx + xy(x\,dy + y\,dx) = 0, y(1)=2y(1) = 2. Then α+β\alpha + \beta is equal to ________

Official answer

4

NTA final key.

Chapter
Differential Equations
Topic
Homogeneous Equations
Idea tested
Recognizing Exact Differentials in Homogeneous Forms

Same idea in other shifts

Asked 2× in all
  1. 27 Jun 2022, Shift 1 · Q4Let dydx=ax−by+abx+cy+a\frac{dy}{dx} = \frac{ax-by+a}{bx+cy+a}, where a, b, c are constants, represent a circle passing through the point (2,5)(2, 5). Then…HardSingle 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.