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Saturday, 31 October

JEE Main · Maths · Differential Equations

Reducible to Separable (Parallel Lines Case)

JEE Main asked Reducible to Separable (Parallel Lines Case) once in the 108 shifts Lumi analysed, on 27 Jan 2024, Shift 1. It belongs to Variable Separable Form, in Differential Equations (Maths).

Updated 2026-10-24

Times asked
1
in 1 shift
Years
1 of 8
First asked
2024
the only year
Pattern
New since 2024
asked once so far

Questions on this idea a shift, by year

2017–2026. Asked in 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200’210’220’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 1 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
  • 20241 of 18
  • 20230 of 12
  • 20220 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

Numerical value is the usual form. Skill tested: multi-step.

  • Solve initial value differential equation

Difficulty

Easy 0Medium 0Hard 1

1 of the 1 question had a numerical answer.

Every question

The question

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

  1. 27 Jan 2024, Shift 1 · Q27If the solution of the differential equation (2x+3y−2) dx+(4x+6y−7) dy=0(2x+3y-2)\,dx+(4x+6y-7)\,dy=0, y(0)=3y(0)=3, is αx+βy+3log⁡e∣2x+3y−γ∣=6\alpha x+\beta y+3\log_e|2x+3y-\gamma|=6,…HardNumerical value

Shift: 27 Jan 2024, Shift 1.

Same topic

Other ideas in Variable Separable Form

Variable Separable Form has 17 ideas JEE Main has asked; 8 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas