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Friday, 9 October

JEE Main Maths · Differential Equations

Standard Linear Form Identification

Standard Linear Form Identification (Differential Equations) was asked 2 times in 2 JEE Main shifts, 2020–2025, out of the 42 shifts Lumi analysed.

Times asked
2
in 2 shifts
Years
2020–2025
Usual format
Single correct
Multi-step
Pattern
Occasional
repeats across shifts

How it is asked

  • Solve initial value differential equation
  • Identify coefficient of linear de from solution

Difficulty

Easy 0Medium 1Hard 1

Where it sits

Chapter: Differential Equations. Topic: Linear Differential Equations, 29 questions over 14 ideas.

Other repeat ideas in this topic

Every time it came

All 2 questions

Newest first, each with its options and official answer.

  1. 8 Apr 2025, Shift 2 · Q20Let f(x)=x−1f(x) = x - 1 and g(x)=exg(x) = e^x for x∈Rx \in \mathbb{R}. If…HardSingle correct
  2. 6 Sep 2020, Shift 2 · Q63If y=(2πx−1)cosec xy=\left(\frac{2}{\pi}x-1\right)\mathrm{cosec}\,x is the solution of the differential equation,…MediumSingle correct