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Friday, 9 October

JEE Main Maths · Differential Equations

Linear in x Form

Linear in x Form (Differential Equations) was asked 3 times in 3 JEE Main shifts, 2021–2023, out of the 42 shifts Lumi analysed. 2 of the 3 had a numerical answer.

Times asked
3
in 3 shifts
Years
2021–2023
Usual format
Numerical value
Multi-step
Pattern
Comes in cycles
repeats across shifts

How it is asked

  • Solve initial value differential equation

Difficulty

Easy 0Medium 2Hard 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 3 questions

Newest first, each with its options and official answer.

  1. 8 Apr 2023, Shift 2 · Q28Let the solution curve x=x(y)x = x(y), 0<y<π20 < y < \frac{\pi}{2}, of the differential equation…HardNumerical value
  2. 24 Jun 2022, Shift 1 · Q14If x=x(y)x=x(y) is the solution of the differential equation ydxdy=2x+y3(y+1)ey, x(1)=0y\frac{dx}{dy}=2x+y^3(y+1)e^y,\ x(1)=0; then x(e)x(e) is equal to :MediumSingle correct
  3. 3 Aug 2021, Shift 2 · Q87If the solution y=y(x)y = y(x) of the differential equation (y+3x4)dxdy=x, x>0\left(y + 3x^4\right)\frac{dx}{dy} = x,\ x > 0, satisfies y(1)=−1y(1) = -1, then the…MediumNumerical value