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Answer first
Differential Equations PYQs (previous year questions) for JEE Main: Differential Equations (Mathematics) had 14 questions across the 11 official JEE Main papers we tagged (2016–2026), and appeared in 11 of them. Asked in 3 of 3 years. The concepts asked in the most papers: Linear Differential Equations, Variable Separable, Homogeneous Differential Equation.
Year-wise question count
Asked in 3 of 3 years.
| Year | Papers | Questions | Per paper |
|---|---|---|---|
| JEE Main 2026 | 9 | 12 | 1.3 |
| JEE Main 2017 | 1 | 1 | 1 |
| JEE Main 2016 | 1 | 1 | 1 |
Most-asked concepts
Sorted by the number of papers a concept appeared in.
| Concept | Questions | Papers | Years |
|---|---|---|---|
| Linear Differential Equations | 5 | 5 | 2026 |
| First Order ODE | 2 | 2 | 2017, 2016 |
| Homogeneous Differential Equation | 2 | 2 | 2026 |
| Integral Equations | 2 | 2 | 2026 |
| Variable Separable | 2 | 2 | 2026 |
| Solving Differential Equations | 1 | 1 | 2026 |
How to practise Differential Equations PYQs
- Start with the concepts at the top of the table. They have come back the most.
- Solve one year’s Differential Equations questions from the official PDF against the clock, then check the answer listed below.
- Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
- Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.
Questions by year
Each line gives the question number and paper, type, concept, our one-line summary and the official answer, with a link to the official PDF.
JEE Main2026
- Q.17 (2 April, shift 1) · MCQ · Variable Separable: Solve dy = y(2 + ln x)dx through (1, e) and find f(e) (official answer: option 3) PDF
- Q.20 (2 April, shift 1) · MCQ · Linear Differential Equations: Solve (1 + sin x)y' + (y+1)cos x = 0 and find alpha for a point (official answer: option 4) PDF
- Q.20 (2 April, shift 2) · MCQ · Homogeneous Differential Equation: Solve 2y^2 dx/dy - 2xy + x^2 = 0 with x(e) = e; find x(e^2) (official answer: option 2) PDF
- Q.20 (4 April, shift 1) · MCQ · Variable Separable: Solve dy/dx = (1+x+x^2)(1-y+y^2) with y(0) = 1/2; find 2y(1) - 1 (official answer: option 3) PDF
- Q.19 (4 April, shift 2) · MCQ · Linear Differential Equations: Solve a linear first-order DE with y(0)=3/2 and find α from y(1) (official answer: option 4) PDF
- Q.25 (4 April, shift 2) · Numerical · Integral Equations: Function defined by an integral equation; evaluate f''+12f'+f at π/6 (official answer: 5) PDF
- Q.25 (5 April, shift 1) · Numerical · Homogeneous Differential Equation: Solve homogeneous DE, then count integral p giving a circle of radius ≤ 6 (official answer: Any non-negative integer) PDF
- Q.19 (5 April, shift 2) · MCQ · Integral Equations: Function defined by an integral equation; find f(f(1)) (official answer: option 1) PDF
- Q.25 (5 April, shift 2) · Numerical · Linear Differential Equations: Solve a linear DE in tan x and sec x; find α⁴ from y(π/3) (official answer: 48) PDF
- Q.25 (6 April, shift 1) · Numerical · Solving Differential Equations: Solve given DE with y(1)=1; greatest integer below y(sqrt5) (official answer: 3) PDF
- Q.18 (6 April, shift 2) · MCQ · Linear Differential Equations: Functional equation and integral equation lead to DE; find g(2) (official answer: option 3) PDF
- Q.17 (8 April, shift 2) · MCQ · Linear Differential Equations: Solve given DE with limiting condition; find y(1/2) (official answer: option 1) PDF
JEE Main2017
- Q.77 · MCQ · First Order ODE: Value of y(pi/2) from a linear differential equation PDF
JEE Main2016
- Q.77 · MCQ · First Order ODE: Value of f(-1/2) for curve solving a differential equation PDF
Differential Equations in other exams
The same chapter in other official papers we tagged: JEE Advanced (18 questions).
Other Mathematics chapters
- Sets, Relations and Functions PYQs
- Complex Numbers and Quadratic Equations PYQs
- Matrices and Determinants PYQs
- Permutations and Combinations PYQs
- Binomial Theorem PYQs
- Sequences and Series PYQs
- Limits, Continuity and Differentiability PYQs
- Integral Calculus PYQs
- Coordinate Geometry PYQs
- Three-Dimensional Geometry PYQs
- Vector Algebra PYQs
- Statistics and Probability PYQs
- Trigonometry PYQs
FAQ
How many Differential Equations questions come in JEE Main?
In the official papers we tagged: 12 in 2026 (9 papers), 1 in 2017 (1 paper) and 1 in 2016 (1 paper). That is 14 questions in all, about 5% of Mathematics.
Which Differential Equations topics repeat in JEE Main?
Asked in the most papers: Linear Differential Equations, Variable Separable, Homogeneous Differential Equation. The concept table lists every one with its count.
Are these official JEE Main questions?
Yes. Every question is from an official JEE Main paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.