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Friday, 9 October

JEE Main Maths · Differential Equations

Identifying Homogeneous Functions

Identifying Homogeneous Functions (Differential Equations) was asked once in the 42 JEE Main shifts Lumi analysed, in 2026.

Times asked
1
in 1 shift
Years
2026
Usual format
Single correct
Multi-step
Pattern
New since 2024
asked once so far

How it is asked

  • Solve initial value differential equation

Difficulty

Easy 0Medium 1Hard 0

Where it sits

Chapter: Differential Equations. Topic: Homogeneous Equations, 9 questions over 5 ideas.

Other repeat ideas in this topic

Every time it came

The question

Newest first, each with its options and official answer.

  1. 2 Apr 2026, Shift 2 · Q20Let x=x(y)x = x(y) be the solution of the differential equation 2y2dxdy−2xy+x2=0,y>1,x(e)=e2y^2\frac{dx}{dy} - 2xy + x^2 = 0, y > 1, x(e) = e. Then x(e2)x(e^2) is equal to:MediumSingle correct