Difficulty distribution
How the classified questions are distributed by difficulty.
2questions
Easy
2
100%
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.
2Papers
2Years
2Questions
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.
Question type distribution
MCQ, numerical, multiple-select and other formats found in these papers.
2questions
MSQ
1
50%
MCQ
1
50%
Subject weightage
Top subjects by unique question coverage.
Most asked topics
Top topics across the included previous year papers.
Subtopic coverage
Top subtopics inside this exact selection.
Paper coverage
Question coverage for the most populated papers. Every active PYP paper remains listed below.
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.
Sturm-Liouville Problems and Special Functions
Explore previous-paper coverage, trends and focused practice for Sturm-Liouville Problems and Special Functions.
Included previous year papers
Newest papers appear first. Sort by year, question coverage or name.
| Paper | Year / session | Questions in this view | Open |
|---|---|---|---|
| Mathematics (MA) 2008 | 2008 | 1 | View paper |
| Mathematics (MA) 2007 | 2007 | 1 | View paper |
Sample previous year questions
A varied preview from the papers represented in this selection, with every available option.
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
2007 · Mathematics · Ordinary Differential Equations · Sturm-Liouville Problems and Special Functions
Mathematics (MA) 2007
Let \(P_n(x)\) be the Legendre polynomial of degree \(n\) and let
\(P_{n+1}'(0) = -\frac{m}{m+1} P_{n-1}'(0), m = 1, 2, ... .\)
If \(P_n'(0) = -\frac{5}{16}\), then \(\int_{-1}^1 P_n^2(x) dx =\)