# WFM02 Second order differential equations Topic Questions

> Edexcel IAL WFM02: every Second order differential equation… topic question from 21 papers (2014–2026), grouped by syllabus point. 56 questions, 254 marks,…

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Edexcel IAL · Mathematics · WFM02 · A Level

Every WFM02 Second order differential equations topic question from the 2014–current syllabus, drawn from 21 papers (2014–2026) and grouped by syllabus point. Each row opens a page listing the exact question numbers, marks and a direct link into the paper. These are questions by topic, not full papers, so you can revise one topic at a time.

- WFM02
- 2 subtopics
- 56 topic questions
- 21 papers
- 254 tagged marks
- [Back to Second order differential equations](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/second-order-differential-equations/)
- [All paper codes](https://www.examsci.com/topics/)

Core finding

**5.1 The linear second order differential equation … where a, b and c… is the most frequently assessed subtopic in Second order differential equations, with 38 topic questions and 194 marks across 21 papers.** 5.2 Differential equations reducible to the above types by… follows with 23 topic questions and 82 marks. The topic contains 2 subtopics, 56 topic questions and 254 marks in total. Rows count only the parts tagged to that subtopic, keep the same colour in both charts and repeat paper count, tagged marks and year range in the native table.

## Topic question count and mark distribution

Subtopics are on the vertical axis and sorted from highest to lowest. Only the parts whose knowledge graph matches a subtopic are counted for it, and percentages are each row's share of the tagged total in that chart. A part tagged to several subtopics is counted in each bar, so the bars are not a partition of the topic total.

### Questions by subtopic

question items

- [5.1 The linear second order differential equation $a\frac{d^{2}y}{dx^{2}}+b\frac{dy}{dx}+cy=f(x)$ where a, b and c are real constants and the particular integral can be found by inspection or trial.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/second-order-differential-equations/5-1-the-linear-second-order-differential-equation-a-frac-d-2-y-dx-2-b-frac-dy-dx-cy-f/) (21 papers) — 38 · 62.3%
- [5.2 Differential equations reducible to the above types by means of a given substitution.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/second-order-differential-equations/5-2-differential-equations-reducible-to-the-above-types-by-means-of-a-given/) (10 papers) — 23 · 37.7%

### Marks by subtopic

marks

- [5.1 The linear second order differential equation $a\frac{d^{2}y}{dx^{2}}+b\frac{dy}{dx}+cy=f(x)$ where a, b and c are real constants and the particular integral can be found by inspection or trial.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/second-order-differential-equations/5-1-the-linear-second-order-differential-equation-a-frac-d-2-y-dx-2-b-frac-dy-dx-cy-f/) (21 papers) — 194 · 70.3%
- [5.2 Differential equations reducible to the above types by means of a given substitution.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/second-order-differential-equations/5-2-differential-equations-reducible-to-the-above-types-by-means-of-a-given/) (10 papers) — 82 · 29.7%

## Subtopic comparison matrix

Curriculum order is by syllabus number, then alphabetically. Every row links to the matching past-paper question list.

| Subtopic | Topic questions | Papers | Marks | Years | |
| --- | --- | --- | --- | --- | --- |
| **[5.1 The linear second order differential equation $a\frac{d^{2}y}{dx^{2}}+b\frac{dy}{dx}+cy=f(x)$ where a, b and c are real constants and the particular integral can be found by inspection or trial.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/second-order-differential-equations/5-1-the-linear-second-order-differential-equation-a-frac-d-2-y-dx-2-b-frac-dy-dx-cy-f/)** | 38 | 21 | 194 | 2014–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/second-order-differential-equations/5-1-the-linear-second-order-differential-equation-a-frac-d-2-y-dx-2-b-frac-dy-dx-cy-f/) |
| **[5.2 Differential equations reducible to the above types by means of a given substitution.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/second-order-differential-equations/5-2-differential-equations-reducible-to-the-above-types-by-means-of-a-given/)** | 23 | 10 | 82 | 2014–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/second-order-differential-equations/5-2-differential-equations-reducible-to-the-above-types-by-means-of-a-given/) |

## Browse every topic question

- [5.1 The linear second order differential equation $a\frac{d^{2}y}{dx^{2}}+b\frac{dy}{dx}+cy=f(x)$ where a, b and c are real constants and the particular integral can be found by inspection or trial.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/second-order-differential-equations/5-1-the-linear-second-order-differential-equation-a-frac-d-2-y-dx-2-b-frac-dy-dx-cy-f/) — 38 question items · 21 papers — 194 marks · 2014–2026
- [5.2 Differential equations reducible to the above types by means of a given substitution.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/second-order-differential-equations/5-2-differential-equations-reducible-to-the-above-types-by-means-of-a-given/) — 23 question items · 10 papers — 82 marks · 2014–2026

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## Topic question rules and edge cases

**How many subtopics does Second order differential equations contain?**

This page lists 2 subtopics tagged to the current syllabus. They are ordered by syllabus number, then alphabetically, and each row opens a page of matching past-paper questions.

**How are the subtopic question and mark totals calculated?**

A multiple-choice question contributes one item and its marks to every subtopic it is tagged with. A structured question contributes one item per tagged part, and that part’s marks; untagged parts of the same question are not counted here. A part tagged to several subtopics therefore appears under each of them.

**Why do some subtopics have no numbered prefix?**

Practical-skills statements and some syllabus bullets are unnumbered. Numbered statements come first; unnumbered statements and ties are sorted alphabetically.

**Is the LaTeX rendered without JavaScript?**

Yes. Subtopics that contain formulas are converted to static KaTeX HTML during the build, and the KaTeX stylesheet is served from the same site.

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