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Previous year question hub

Ordinary Differential Equations - Engineering Sciences Previous Year Questions

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

20Papers
20Years
32Questions
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 21 65.6%
Easy 11 34.4%

Question type distribution

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

MCQ 24 75%
Numerical Answer Type (NAT) 7 21.9%
MSQ 1 3.1%

Subject weightage

Top subjects by unique question coverage.

Engineering Sciences
32 Qs

Most asked topics

Top topics across the included previous year papers.

Ordinary Differential Equations
32 Qs

Subtopic coverage

Top subtopics inside this exact selection.

First-order and Higher-order Equations
29 Qs
Series Solutions and Eigenvalue Problems
3 Qs

Paper coverage

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

Engineering Sciences (XE) 2026
1 Qs
Engineering Sciences (XE) 2025
1 Qs
Engineering Sciences (XE) 2024
2 Qs
Engineering Sciences (XE) 2023
1 Qs
Engineering Sciences (XE) 2022
1 Qs
Engineering Sciences (XE) 2021
1 Qs
Engineering Sciences (XE) 2020
1 Qs
Engineering Sciences (XE) 2019
1 Qs
Engineering Sciences (XE) 2018
2 Qs
Engineering Sciences (XE) 2017
2 Qs
Engineering Sciences (XE) 2016
1 Qs
Engineering Sciences (XE) 2015
3 Qs
Engineering Sciences (XE) 2014
2 Qs
Engineering Sciences (XE) 2013
1 Qs
Engineering Sciences (XE) 2012
1 Qs
Engineering Sciences (XE) 2011
1 Qs
Engineering Sciences (XE) 2010
1 Qs
Engineering Sciences (XE) 2009
1 Qs
Engineering Sciences (XE) 2008
7 Qs
Engineering Sciences (XE) 2007
1 Qs

Browse by subtopics

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

First-order and Higher-order Equations

Explore previous-paper coverage, trends and focused practice for First-order and Higher-order Equations.

29 questions18 papers18 years

Series Solutions and Eigenvalue Problems

Explore previous-paper coverage, trends and focused practice for Series Solutions and Eigenvalue Problems.

3 questions3 papers3 years

Included previous year papers

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

Paper nameYearPDFAttempt
Engineering Sciences (XE) 20262026
1 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
Engineering Sciences (XE) 20252025
1 questions in this view		2025
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Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20242024
2 questions in this view		2024
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20232023
1 questions in this view		2023
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Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20222022
1 questions in this view		2022
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Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20212021
1 questions in this view		2021
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Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20202020
1 questions in this view		2020
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20192019
1 questions in this view		2019
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20182018
2 questions in this view		2018
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20172017
2 questions in this view		2017
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20162016
1 questions in this view		2016
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20152015
3 questions in this view		2015
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20142014
2 questions in this view		2014
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20132013
1 questions in this view		2013
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20122012
1 questions in this view		2012
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20112011
1 questions in this view		2011
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20102010
1 questions in this view		2010
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20092009
1 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20082008
7 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20072007
1 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
2007 · Engineering Sciences · Ordinary Differential Equations · Series Solutions and Eigenvalue Problems
Engineering Sciences (XE) 2007
The solution of the differential equation given above satisfying \( y(0) = 1 \) and \( y'(0) = 0 \) is
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2
2008 · Engineering Sciences · Ordinary Differential Equations · First-order and Higher-order Equations
Engineering Sciences (XE) 2008
If the solution of the differential equation \(\frac{dy}{dx} + P(x)y = xy^3\) is \(y^2(1 + ce^{x^2}) = 1\), \(c\) being an arbitrary constant, then \(P(x)\) is
Open complete paper
3
2009 · Engineering Sciences · Ordinary Differential Equations · First-order and Higher-order Equations
Engineering Sciences (XE) 2009
Let y1(x) and y2(x) be two linearly independent solutions of \[ \frac{d^2 y}{dx^2} + \frac{6}{x} \frac{dy}{dx} + q(x) y = 0, x \in (1,3) \], where q(x) is a continuous function in (1,3). If the Wronskian of y1(x) and y2(x), at x = 1, denoted by w(y1, y2)(1), is 1, then w(y1, y2)(2) is
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4
2010 · Engineering Sciences · Ordinary Differential Equations · First-order and Higher-order Equations
Engineering Sciences (XE) 2010
Which one of the following is a particular solution of the ordinary differential equation \(x^2 \frac{d^2 y}{dx^2} - \frac{dy}{dx} = 2 x^2 f(x)\) ?
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5
2011 · Engineering Sciences · Ordinary Differential Equations · First-order and Higher-order Equations
Engineering Sciences (XE) 2011
A solution of the differential equation $\frac{d^2 y}{dx^2} - 5\frac{dy}{dx} + 6y = 36x$ is
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6
2012 · Engineering Sciences · Ordinary Differential Equations · First-order and Higher-order Equations
Engineering Sciences (XE) 2012
The general solution of \(\frac{d^4 y}{dx^4} - 2\frac{d^3 y}{dx^3} + 2\frac{d^2 y}{dx^2} - 2\frac{dy}{dx} + y = 0\) is
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