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Partial Differential Equations - Engineering Sciences Previous Year Questions

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

16Papers

16Years

20Questions

1Topics

Partial Differential Equations question pattern

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Questions by year

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Difficulty distribution

How the classified questions are distributed by difficulty.

20questions

Medium 17 85%

Easy 3 15%

Question type distribution

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

20questions

MCQ 15 75%

Numerical Answer Type (NAT) 4 20%

MSQ 1 5%

Subject weightage

Top subjects by unique question coverage.

Engineering Sciences

20 Qs

Most asked topics

Top topics across the included previous year papers.

Partial Differential Equations

20 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Heat, Wave and Laplace Equations

13 Qs

PDE Classification and Separation of Variables

7 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

2 Qs

Engineering Sciences (XE) 2023

1 Qs

Engineering Sciences (XE) 2022

1 Qs

Engineering Sciences (XE) 2021

1 Qs

Engineering Sciences (XE) 2019

1 Qs

Engineering Sciences (XE) 2018

1 Qs

Engineering Sciences (XE) 2017

1 Qs

Engineering Sciences (XE) 2016

1 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

1 Qs

Engineering Sciences (XE) 2007

4 Qs

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Heat, Wave and Laplace Equations

Explore previous-paper coverage, trends and focused practice for Heat, Wave and Laplace Equations.

13 questions11 papers11 years

PDE Classification and Separation of Variables

Explore previous-paper coverage, trends and focused practice for PDE Classification and Separation of Variables.

7 questions7 papers7 years

Included previous year papers

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

Paper name	Year	PDF
Engineering Sciences (XE) 20262026 1 questions in this view	2026	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20252025 2 questions in this view	2025	ExamElite PDFs 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	ExamElite PDFs ExamElite solutions 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	ExamElite PDFs ExamElite solutions 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	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20192019 1 questions in this view	2019	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20182018 1 questions in this view	2018	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20172017 1 questions in this view	2017	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20162016 1 questions in this view	2016	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20132013 1 questions in this view	2013	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20122012 1 questions in this view	2012	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20112011 1 questions in this view	2011	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20102010 1 questions in this view	2010	ExamElite PDFs 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 1 questions in this view	2008	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20072007 4 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.

2007 · Engineering Sciences · Partial Differential Equations · Heat, Wave and Laplace Equations

Engineering Sciences (XE) 2007

Let \( u(x,t) \) be the solution of the initial value problem
\( \frac{\partial^2 u}{\partial t^2} = 9 \frac{\partial^2 u}{\partial x^2} \), \( t > 0 \), \( -\infty < x < \infty \),
\( u(x,0) = x + 5 \),
\( \frac{\partial u}{\partial t}(x,0) = 0 \).
Then \( u(2,2) \) is

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2008 · Engineering Sciences · Partial Differential Equations · Heat, Wave and Laplace Equations

Engineering Sciences (XE) 2008

If \( u = u(x, t) \) is such that \[ \frac{\partial^2 u}{\partial t^2} = 4 \frac{\partial^2 u}{\partial x^2}, \quad 0 \leq x \leq \pi, \quad t \geq 0, \] \( u(0, t) = u(\pi, t) = 0, \) \( u(x, 0) = 0, \) \( \frac{\partial u}{\partial t}(x, 0) = \sin x, \) then \( u \left( \frac{\pi}{3}, \frac{\pi}{6} \right) \) is

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2009 · Engineering Sciences · Partial Differential Equations · Heat, Wave and Laplace Equations

Engineering Sciences (XE) 2009

The solution u(x,t) of the one-dimensional heat equation, \[ \frac{\partial u}{\partial t} = c^2 \frac{\partial^2 u}{\partial x^2}, x \in \mathbb{R} \] with a Gaussian initial condition,

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2010 · Engineering Sciences · Partial Differential Equations · Heat, Wave and Laplace Equations

Engineering Sciences (XE) 2010

Which one of the following is a possible solution to the partial differential equation \(\frac{\partial^2 u}{\partial t^2} - \frac{\partial^2 u}{\partial x^2} = 0\) with boundary conditions \(u(0,t)=0\), \(\frac{\partial u(\pi,t)}{\partial x}=0\), for \(t \geq 0\), \(u(x,0)=0\), \(\frac{\partial u(x,0)}{\partial t}=\pi\), for \(0 \leq x \leq \pi\) ?

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2011 · Engineering Sciences · Partial Differential Equations · Heat, Wave and Laplace Equations

Engineering Sciences (XE) 2011

The solution of the initial boundary value problem \(\frac{\partial u}{\partial t} = \frac{\partial^2 u}{\partial x^2}\), \(0 < x < \pi\), \(t > 0\), with boundary and initial conditions \(\frac{\partial u}{\partial x}(0,t) = 0 = u(\pi,t)\), \(t > 0\) and \(u(x,0) = f(x)\), \(0 < x < \pi\), is

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2012 · Engineering Sciences · Partial Differential Equations · Heat, Wave and Laplace Equations

Engineering Sciences (XE) 2012

For the solution of \(\nabla^2 u = 0\), the domain and boundary conditions are shown below.

Which of the following statements is TRUE?

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Partial Differential Equations - Engineering Sciences Previous Year Questions

Partial Differential Equations question pattern

Questions by year

Difficulty distribution

Question type distribution

Subject weightage

Most asked topics

Subtopic coverage

Paper coverage

Browse by subtopics

Heat, Wave and Laplace Equations

PDE Classification and Separation of Variables

Included previous year papers

Sample previous year questions

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Partial Differential Equations - Engineering Sciences Previous Year Questions

Partial Differential Equations question pattern

Questions by year

Subject weightage

Most asked topics

Subtopic coverage

Paper coverage

Browse by subtopics

Heat, Wave and Laplace Equations

PDE Classification and Separation of Variables

Included previous year papers