My Cart
Your Cart 0

    Your cart is empty.

  • Total (Amount) ₹0.00
Previous year question hub

Differential Equations - Calculus - Mathematics Previous Year Questions

Practice Differential Equations - Calculus - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

5Papers
5Years
5Questions
1Topics

Differential Equations question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Differential Equations. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 5 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 5 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
5 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
5 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Differential Equations
5 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

IAT IISER 2025
1 Qs
IAT IISER 2024
1 Qs
IAT IISER 2023
1 Qs
IAT IISER 2022
1 Qs
IAT IISER 2020
1 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
IAT IISER 202520251View paper
IAT IISER 202420241View paper
IAT IISER 202320231View paper
IAT IISER 202220221View paper
IAT IISER 202020201View paper

All Differential Equations previous year questions

Practice every matching question in batches of 20, with every available option.

1
2020 · Mathematics · Calculus · Differential Equations
IAT IISER 2020
Consider the differential equation $f^{\prime \prime}+p f^{\prime}+q f=0$ where $p$ and $q$ are constants, $p^2=4 q$ and $q \neq 0$. If y is a nonzero solution of the equation, then which of the following statements is correct?
A
$(1+x) y$ can never be a solution
B
$y^2$ can never be a solution
C
$y^{\prime}$ can never be a solution
D
$x y$ can never be a solution
Open complete paper
2
2022 · Mathematics · Calculus · Differential Equations
IAT IISER 2022
For arbitrary constants $\alpha, \beta$, the differential equation representing the family of curves $y=$ $(\alpha x+\beta) e^x$ is
A
$y^{\prime \prime}-2 y^{\prime}+y=0$
B
$y^{\prime \prime}-y^{\prime}+y=0$
C
$y^{\prime \prime}-2 y^{\prime}-y=0$
D
$y^{\prime \prime}-y^{\prime}-y=0$
Open complete paper
3
2023 · Mathematics · Calculus · Differential Equations
IAT IISER 2023
Which of the following differential equations has $y=e^x$ as one of its particular solutions?
A
$y \frac{d^2 y}{d x^2}+e^x \frac{d y}{d x}+y^2=e^{2 x}$
B
$y \frac{d^2 y}{d x^2}-e^x \frac{d y}{d x}+y^2=e^{2 x}$
C
$y \frac{d^2 y}{d x^2}-e^x \frac{d y}{d x}+y^2=e^x$
D
$y \frac{d^2 y}{d x^2}+e^x \frac{d y}{d x}+y^2=e^x$
Open complete paper
4
2024 · Mathematics · Calculus · Differential Equations
IAT IISER 2024
Consider the differential equation $\cos (y) \frac{d y}{d x}+\frac{1}{x} \sin (y)=x, \quad(x>0)$; given that, $y=\frac{\pi}{2}$ at $x=\sqrt{3}$. Which one of the following is the value of $y$ at $x=\sqrt{\frac{3}{2}}$ ?
A
$\frac{\pi}{6}$
B
$\frac{\pi}{3}$
C
$\frac{\pi}{2}$
D
$\frac{\pi}{4}$
Open complete paper
5
2025 · Mathematics · Calculus · Differential Equations
IAT IISER 2025

Which one of the following is the solution of the differential equation

$$x^2 \frac{d y}{d x}+9 x y=x^4(\text { for } x>0)$$

given that $y=0$ when $x=1$ ?

A

$12 y=x^3-\frac{1}{x^9}$

B

$12 y=x^9-\frac{1}{x^3}$

C

$9 y=x^{21}-\frac{1}{x^3}$

D

$9 y=x^3-\frac{1}{x^{21}}$

Open complete paper