My Cart
Your Cart 0

    Your cart is empty.

  • Total (Amount) ₹0.00
Previous year question hub

Partial Differential Equations - Mathematics Previous Year Questions

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

19Papers
19Years
67Questions
1Topics

Partial 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 48 71.6%
Easy 16 23.9%
Hard 3 4.5%

Question type distribution

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

MCQ 45 67.2%
Numerical Answer Type (NAT) 18 26.9%
MSQ 3 4.5%
Fill in the blanks 1 1.5%

Subject weightage

Top subjects by unique question coverage.

Mathematics
67 Qs

Most asked topics

Top topics across the included previous year papers.

Partial Differential Equations
67 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Heat, Wave and Laplace Equations
38 Qs
Characteristics and PDE Classification
29 Qs

Paper coverage

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

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

Browse by subtopics

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

Heat, Wave and Laplace Equations

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

38 questions18 papers18 years

Characteristics and PDE Classification

Explore previous-paper coverage, trends and focused practice for Characteristics and PDE Classification.

29 questions17 papers17 years

Included previous year papers

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

Paper nameYearPDFAttempt
Mathematics (MA) 20262026
5 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
Mathematics (MA) 20252025
5 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
Mathematics (MA) 20242024
4 questions in this view		2024
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20232023
4 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
Mathematics (MA) 20222022
5 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
Mathematics (MA) 20212021
4 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
Mathematics (MA) 20202020
4 questions in this view		2020
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20192019
4 questions in this view		2019
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20182018
1 questions in this view		2018
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20172017
3 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20162016
2 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20142014
3 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20132013
1 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20122012
3 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
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20102010
2 questions in this view		2010
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20092009
2 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
5 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 · Partial Differential Equations · Characteristics and PDE Classification
Mathematics (MA) 2008
The solution of \(xu_x + yu_y = 0\) is of the form
Open complete paper
2
2009 · Mathematics · Partial Differential Equations · Characteristics and PDE Classification
Mathematics (MA) 2009
The integral surface satisfying the equation \( y \frac{\partial z}{\partial x} + x \frac{\partial z}{\partial y} = x^2 + y^2 \) and passing through the curve \( x = 1-t, \ y = 1+t, \ z = 1+t^2 \) is
Open complete paper
3
2010 · Mathematics · Partial Differential Equations · Characteristics and PDE Classification
Mathematics (MA) 2010
The general solution of the partial differential equation \( \frac{\partial^2 z}{\partial x \partial y} = x + y \) is of the form
Open complete paper
4
2011 · Mathematics · Partial Differential Equations · Characteristics and PDE Classification
Mathematics (MA) 2011
The partial differential equation \[x^2 \frac{\partial^2 z}{\partial x^2} - (y^2 - 1)x \frac{\partial^2 z}{\partial x \partial y} + y(y-1)^2 \frac{\partial^2 z}{\partial y^2} + x \frac{\partial z}{\partial x} + y \frac{\partial z}{\partial y} = 0\] is hyperbolic in a region in the \(XY\)-plane if
Open complete paper
5
2012 · Mathematics · Partial Differential Equations · Heat, Wave and Laplace Equations
Mathematics (MA) 2012
The function \(u(r,\theta)\) satisfying the Laplace equation \[\frac{\partial^2 u}{\partial r^2}+\frac{1}{r}\frac{\partial u}{\partial r}+\frac{1}{r^2}\frac{\partial^2 u}{\partial \theta^2}=0,\quad e
Open complete paper
6
2013 · Mathematics · Partial Differential Equations · Heat, Wave and Laplace Equations
Mathematics (MA) 2013
Let \(u(x,t)\) be the solution to the wave equation \(\frac{\partial^2 u}{\partial x^2}(x,t) = \frac{\partial^2 u}{\partial t^2}(x,t)\), \(u(x,0) = \cos(5\pi x)\), \(\frac{\partial u}{\partial t}(x,0) = 0\). Then, the value of \(u(1,1)\) is ______
Open complete paper