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Previous year question hub

Ordinary Differential Equations - Mathematics Previous Year Questions

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

20Papers
20Years
113Questions
1Topics

Ordinary Differential Equations question pattern

Every graph below is calculated only from this selection.

Questions by year

Compare question counts across years.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 85 75.2%
Easy 22 19.5%
Hard 6 5.3%

Question type distribution

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

MCQ 81 71.7%
Numerical Answer Type (NAT) 29 25.7%
MSQ 3 2.7%

Subject weightage

Top subjects by unique question coverage.

Mathematics
113 Qs

Most asked topics

Top topics across the included previous year papers.

Ordinary Differential Equations
113 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Existence, Uniqueness and Linear Equations
66 Qs
Sturm-Liouville Problems and Special Functions
20 Qs
Laplace Transforms and Series Solutions
20 Qs
Autonomous Systems and Stability
7 Qs

Paper coverage

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

Mathematics (MA) 2026
4 Qs
Mathematics (MA) 2025
6 Qs
Mathematics (MA) 2024
5 Qs
Mathematics (MA) 2023
5 Qs
Mathematics (MA) 2022
4 Qs
Mathematics (MA) 2021
5 Qs
Mathematics (MA) 2020
5 Qs
Mathematics (MA) 2019
5 Qs
Mathematics (MA) 2018
7 Qs
Mathematics (MA) 2017
5 Qs
Mathematics (MA) 2016
8 Qs
Mathematics (MA) 2015
2 Qs
Mathematics (MA) 2014
8 Qs
Mathematics (MA) 2013
3 Qs
Mathematics (MA) 2012
9 Qs
Mathematics (MA) 2011
3 Qs
Mathematics (MA) 2010
4 Qs
Mathematics (MA) 2009
7 Qs
Mathematics (MA) 2008
7 Qs
Mathematics (MA) 2007
11 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Existence, Uniqueness and Linear Equations

Explore previous-paper coverage, trends and focused practice for Existence, Uniqueness and Linear Equations.

66 questions20 papers20 years

Sturm-Liouville Problems and Special Functions

Explore previous-paper coverage, trends and focused practice for Sturm-Liouville Problems and Special Functions.

20 questions14 papers14 years

Laplace Transforms and Series Solutions

Explore previous-paper coverage, trends and focused practice for Laplace Transforms and Series Solutions.

20 questions11 papers11 years

Autonomous Systems and Stability

Explore previous-paper coverage, trends and focused practice for Autonomous Systems and Stability.

7 questions6 papers6 years

Included previous year papers

Newest papers appear first. Search these papers or sort by year and name.

Paper nameYearPDFAttempt
Mathematics (MA) 20262026
4 questions in this view		2026
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20252025
6 questions in this view		2025
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20242024
5 questions in this view		2024
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20232023
5 questions in this view		2023
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20222022
4 questions in this view		2022
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ExamElite solutions
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20212021
5 questions in this view		2021
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ExamElite solutions
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20202020
5 questions in this view		2020
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20192019
5 questions in this view		2019
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20182018
7 questions in this view		2018
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20172017
5 questions in this view		2017
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20162016
8 questions in this view		2016
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20152015
2 questions in this view		2015
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20142014
8 questions in this view		2014
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20132013
3 questions in this view		2013
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20122012
9 questions in this view		2012
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20112011
3 questions in this view		2011
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20102010
4 questions in this view		2010
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20092009
7 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20082008
7 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20072007
11 questions in this view		2007
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2008 · Mathematics · Ordinary Differential Equations · Existence, Uniqueness and Linear Equations
Mathematics (MA) 2008
Let \(y\) be a solution of \(y' = e^{-y^2} - 1\) on \([0, 1]\) which satisfies \(y(0) = 0\). Then
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2
2009 · Mathematics · Ordinary Differential Equations · Existence, Uniqueness and Linear Equations
Mathematics (MA) 2009
The resolvent kernel for the integral equation u(x) = F(x) + ∫0x et–x u(t) dt is
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3
2010 · Mathematics · Ordinary Differential Equations · Existence, Uniqueness and Linear Equations
Mathematics (MA) 2010
The maximum number of linearly independent solutions of the differential equation \( \frac{d^4 y}{dx^4} = 0 \), with the condition \( y(0) = 1 \), is
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4
2011 · Mathematics · Ordinary Differential Equations · Existence, Uniqueness and Linear Equations
Mathematics (MA) 2011
The initial value problem \( x \frac{dy}{dx} = y + x^2, x > 0; y(0) = 0, \) has
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5
2012 · Mathematics · Ordinary Differential Equations · Existence, Uniqueness and Linear Equations
Mathematics (MA) 2012
If a transformation \(y=uv\) transforms the given differential equation \(f(x)y''-4f'(x)y'+g(x)y=0\) into the equation of the form \(v''+h(x)v=0\), then \(u\) must be
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6
2013 · Mathematics · Ordinary Differential Equations · Existence, Uniqueness and Linear Equations
Mathematics (MA) 2013
Assume that all the zeros of the polynomial \(a_n x^n + a_{n-1} x^{n-1} + \cdots + a_1 x + a_0\) have negative real parts. If \(u(t)\) is any solution to the ordinary differential equation \(a_n \frac{d^n u}{dt^n} + a_{n-1} \frac{d^{n-1} u}{dt^{n-1}} + \cdots + a_1 \frac{du}{dt} + a_0 u = 0\), then \(\lim_{t \to \infty} u(t)\) is equal to
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