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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.

16Papers
16Years
22Questions
1Topics

Ordinary Differential Equations question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 14 63.6%
Easy 8 36.4%

Question type distribution

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

MCQ 14 63.6%
Numerical Answer Type (NAT) 7 31.8%
MSQ 1 4.5%

Subject weightage

Top subjects by unique question coverage.

Engineering Sciences
22 Qs

Most asked topics

Top topics across the included previous year papers.

Ordinary Differential Equations
22 Qs

Subtopic coverage

Top subtopics inside this exact selection.

First-order and Higher-order Equations
20 Qs
Series Solutions and Eigenvalue Problems
2 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) 2010
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.

20 questions15 papers15 years

Series Solutions and Eigenvalue Problems

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

2 questions2 papers2 years

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Engineering Sciences (XE) 202620261View paper
Engineering Sciences (XE) 202520251View paper
Engineering Sciences (XE) 202420242View paper
Engineering Sciences (XE) 202320231View paper
Engineering Sciences (XE) 202220221View paper
Engineering Sciences (XE) 202120211View paper
Engineering Sciences (XE) 202020201View paper
Engineering Sciences (XE) 201920191View paper
Engineering Sciences (XE) 201820182View paper
Engineering Sciences (XE) 201720172View paper
Engineering Sciences (XE) 201620161View paper
Engineering Sciences (XE) 201520153View paper
Engineering Sciences (XE) 201420142View paper
Engineering Sciences (XE) 201320131View paper
Engineering Sciences (XE) 201220121View paper
Engineering Sciences (XE) 201020101View paper

Sample previous year questions

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

1
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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2
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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3
2013 · Engineering Sciences · Ordinary Differential Equations · First-order and Higher-order Equations
Engineering Sciences (XE) 2013
The general solution of the differential equation \[ x^3 \frac{d^3 y}{d x^3} + x^2 \frac{d^2 y}{d x^2} + x \frac{d y}{d x} - y = 0, \; x > 0 \] is
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4
2014 · Engineering Sciences · Ordinary Differential Equations · First-order and Higher-order Equations
Engineering Sciences (XE) 2014
Which of the following is a solution of the differential equation x²y'' + xy' + y = 4 sin(ln x), x > 0?
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5
2015 · Engineering Sciences · Ordinary Differential Equations · First-order and Higher-order Equations
Engineering Sciences (XE) 2015
The type of the differential equation \((1-x)\frac{d^3y}{dx^3} - \sqrt{1+\left(\frac{dy}{dx}\right)^2} + 5y = \cos(x)\) is
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6
2016 · Engineering Sciences · Ordinary Differential Equations · First-order and Higher-order Equations
Engineering Sciences (XE) 2016
Let \(y(x)\) be the solution of the initial value problem \(\frac{dy}{dx} + 2xy = x;\ y(0) = 0\). Find the value of \(\lim_{x \to \infty} y(x)\).
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