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Saturday, 31 October

JEE Main · Maths · Differential Equations

Bernoulli Equation Reduction

JEE Main asked Bernoulli Equation Reduction 4 times in 4 of the 108 shifts Lumi analysed, in 2021 and 2024. It belongs to Linear Differential Equations, in Differential Equations (Maths). The longest wait between two years asking it was 3 years. In 2021 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
4
in 4 shifts
Years
2 of 8
First asked
2021
last in 2024
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200.10’210’220’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 3 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
  • 20213 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
  • Solve bernoulli equation and evaluate derivative

Difficulty

Easy 0Medium 1Hard 3

2 of the 4 questions had a numerical answer.

Every question

All 4 questions

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

  1. 31 Jan 2024, Shift 2 · Q27Let y=y(x)y=y(x) be the solution of the differential equation sec⁡2x dx+(e2ytan⁡2x+tan⁡x)dy=0\sec^2x\,dx+\left(e^{2y}\tan^2x+\tan x\right)dy=0, 0<x<π20<x<\frac{\pi}{2},…HardNumerical value
  2. 18 Mar 2021, Shift 2 · Q69Let y=y(x)y=y(x) be the solution of the differential equation dydx=(y+1)((y+1)ex2/2−x)\frac{dy}{dx}=(y+1)\left((y+1)e^{x^2/2}-x\right), 0<x<2.10<x<2.1, with y(2)=0y(2)=0.…HardSingle correct
  3. 26 Feb 2021, Shift 2 · Q65Let slope of the tangent line to a curve at any point P(x,y)P(x, y) be given by xy2+yx\frac{xy^2+y}{x}. If the curve intersects the line x+2y=4x+2y=4…MediumSingle correct
  4. 25 Feb 2021, Shift 2 · Q82If the curve, y=y(x)y = y(x) represented by the solution of the differential equation (2xy2−y)dx+x dy=0(2xy^2 - y)dx + x\,dy = 0, passes through the…HardNumerical value

Shifts: 25 Feb 2021, Shift 2, 26 Feb 2021, Shift 2, 18 Mar 2021, Shift 2, 31 Jan 2024, Shift 2.

Same topic

Other ideas in Linear Differential Equations

Linear Differential Equations has 18 ideas JEE Main has asked; 14 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas