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Saturday, 31 October

JEE Main · Maths · Differential Equations

Identifying Equations Reducible to Homogeneous Form

JEE Main asked Identifying Equations Reducible to Homogeneous Form 2 times in 2 of the 108 shifts Lumi analysed, all in 2022. It belongs to Homogeneous Equations, in Differential Equations (Maths). In 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
1 of 8
First asked
2022
the only year
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2022. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200’210.07’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 2 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 in 18 shifts · 2025: 0 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20250 of 8
  • 20240 of 18
  • 20230 of 12
  • 20222 of 24
  • 20210 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: multi-step.

  • General solution of a differential equation
  • Solve initial value differential equation

Difficulty

Easy 0Medium 0Hard 2

Every question was multiple choice.

Every question

All 2 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 29 Jul 2022, Shift 2 · Q9If the solution curve of the differential equation dydx=x+y−2x−y\frac{dy}{dx}=\frac{x+y-2}{x-y} passes through the points (2,1)(2, 1) and (k+1,2)(k+1, 2),…HardSingle correct
  2. 25 Jul 2022, Shift 1 · Q11The general solution of the differential equation (x−y2) dx+y(5x+y2) dy=0(x-y^2)\,dx+y(5x+y^2)\,dy=0 is :HardSingle correct

Shifts: 25 Jul 2022, Shift 1, 29 Jul 2022, Shift 2.

Same topic

Other ideas in Homogeneous Equations

Homogeneous Equations has 9 ideas JEE Main has asked; 5 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas