# Topic Questions: 4.2 First order linear differential equations of the form $\frac{dy}{dx}+Py=Q$ where P and Q are functions of x. — WFM02 First order differential equations > 29 WFM02 First order differential equations topic questions (142 marks) on 4.2 First order linear differential equations of… — 20 papers, 2014–2026. Open… - Canonical HTML: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/first-order-differential-equations/4-2-first-order-linear-differential-equations-of-the-form-frac-dy-dx-py-q-where-p-and/ - Markdown mirror: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/first-order-differential-equations/4-2-first-order-linear-differential-equations-of-the-form-frac-dy-dx-py-q-where-p-and/index.md --- Edexcel IAL · Mathematics · WFM02 · First order differential equations 29 WFM02 First order differential equations topic questions are tagged to this syllabus point across 20 papers (2014–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved. - 29 topic questions - 20 papers - 142 tagged marks - 63.0% of topic questions - 72.4% of topic marks - 2014–2026 - Syllabus 2014–current - [All WFM02 First order differential equations topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/first-order-differential-equations/) - [All paper codes](https://www.examsci.com/topics/) Core finding **This First order differential equations syllabus point appears in 20 WFM02 papers across 2014–2026, contributing 29 topic questions and 142 marks.** The most recent appearance is WFM02/01 January 2026. That equals 63.0% of the 46 topic questions and 72.4% of the 196 marks tagged to First order differential equations. Only parts tagged to this subtopic are counted, so a four-part question can contribute one item and one part's marks. The table lists every matching question, its tagged parts and marks, with a link back to the paper page. Sessions are newest first, so the statement can be traced back through the full paper history. ## Topic questions by session Newest sessions first. Parts and marks count only the parts tagged to this subtopic; “x of y parts” shows how much of the question is tagged elsewhere. Select the paper cell to open the matching question on the paper page, or use **Go to Practice Hub** to answer that exact question in the Interactive Practice Hub. | Paper | Question | Type | Parts | Marks | Difficulty | Practice | | --- | --- | --- | --- | --- | --- | --- | | [**WFM02/01** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2026-january-wfm02-01/#q-3) | **Q3** First Order Differential Equations - Edexcel IAL FP2 Jan 2026 Q3 | FRQ | 2 of 3 parts ((b), (c)) | 7 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=63f30edc-da72-4873-8d78-4788909df537&question_id=ff9eaa4d-d955-40e2-bdaa-1a6c344086e6&source_detail=WFM02%2F01+January+2026) | | [**WFM02/02** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2026-january-wfm02-02/#q-3) | **Q3** First Order Differential Equations - Edexcel IAL FP2 Jan 2026 Q3 | FRQ | 2 parts ((a), (b)) | 10 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=18cf125f-cf6e-4212-9ec4-8b8136867c90&question_id=d26647de-b98b-4610-99af-7c45e62f2355&source_detail=WFM02%2F02+January+2026) | | [**WFM02/01** June 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2025-june-wfm02-01/#q-6) | **Q6** First Order Differential Equations - Edexcel IAL FP2 2025 Jun Q6 | FRQ | 2 of 3 parts ((b), (c)) | 8 of 11 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=fbd49fae-6c93-46d7-afb1-0485494f9613&question_id=79b887ee-5255-4263-8d79-60d77dc4dc5a&source_detail=WFM02%2F01+June+2025) | | [**WFM02/02** June 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2025-june-wfm02-02/#q-2) | **Q2** First Order Linear Differential Equations - Edexcel IAL FP2 June 2025 Q2 | FRQ | 2 parts ((a), (b)) | 8 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=675001c8-6f4a-444e-adec-0d7ab65e7fa5&question_id=4b882f16-ded5-4e3c-a7ee-77ad852f41da&source_detail=WFM02%2F02+June+2025) | | [**WFM02/01** January 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2025-january-wfm02-01/#q-1) | **Q1** Differential Equations - Edexcel IAL FP2 Jan 2025 Q1 | FRQ | 2 parts ((a), (b)) | 6 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0145a25d-abed-493c-b274-68e9ac20c81c&question_id=95b72909-6c06-4fc9-a20e-3105cc26ad20&source_detail=WFM02%2F01+January+2025) | | [**WFM02/01** June 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2024-june-wfm02-01/#q-4) | **Q4** First Order Differential Equations with Substitution - Edexcel IAL FP2 June 2024 Q4 | FRQ | 1 of 2 parts ((b)) | 6 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9db764ce-df60-4d7e-8e8e-9fbd0945dc3e&question_id=1c30641d-ddb6-4333-87e0-5b3b891c793a&source_detail=WFM02%2F01+June+2024) | | [**WFM02/01** January 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2024-january-wfm02-01/#q-8) | **Q8** First Order Differential Equations - Edexcel IAL FP2 Jan 2024 Q8 | FRQ | 1 of 3 parts ((c)) | 6 of 13 on the paper | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=50a13d55-9be9-4c26-853f-faf58a9a48a1&question_id=95803d10-8489-48eb-98b1-1e24128a2700&source_detail=WFM02%2F01+January+2024) | | [**WFM02/01** June 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2023-june-wfm02-01/#q-7) | **Q7** Reducible First Order Differential Equations - Edexcel IAL FP2 June 2023 Q7 | FRQ | 1 of 2 parts ((b)) | 6 of 11 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ebce46b6-f8f6-43f0-8699-49b8311ffc55&question_id=660a10c3-0ca1-4f28-a8fe-f46641ed978a&source_detail=WFM02%2F01+June+2023) | | [**WFM02/01** January 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2023-january-wfm02-01/#q-3) | **Q3** First Order Differential Equations - Edexcel IAL FP2 Jan 2023 Q3 | FRQ | 1 of 3 parts ((b)) | 4 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=fd3ac8f6-4518-4de8-b9ba-dad4dcd59c75&question_id=b90401c4-cb0a-424d-9713-e4a33b1323b2&source_detail=WFM02%2F01+January+2023) | | [**WFM02/01** June 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2022-june-wfm02-01/#q-4) | **Q4** First Order Linear Differential Equations - Edexcel IAL FP2 2022 Jun Q4 | FRQ | 2 parts ((a), (b)) | 7 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=f9264622-0278-456d-b2fe-c1f14e888b10&question_id=9249ac13-83c1-40c0-9c30-7556a0f2b035&source_detail=WFM02%2F01+June+2022) | | [**WFM02/01** October 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2021-october-wfm02-01/#q-4) | **Q4** First Order Differential Equations - Edexcel IAL FP2 October 2021 Q4 | FRQ | 2 parts ((a), (b)) | 9 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=75f8169f-6469-4a02-b20b-b560a27bbdd0&question_id=11956ace-295c-4791-8a56-221d885e0e83&source_detail=WFM02%2F01+October+2021) | | [**WFM02/01** June 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2021-june-wfm02-01/#q-8) | **Q8** First Order Differential Equations - Edexcel IAL FP2 June 2021 Q8 | FRQ | 1 of 2 parts ((b)) | 6 of 11 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=69ad47c5-8ce5-49f5-8efe-1e76771c8279&question_id=f2398f15-909b-43dd-a70d-a0320d5ed985&source_detail=WFM02%2F01+June+2021) | | [**WFM02/01** January 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2021-january-wfm02-01/#q-4) | **Q4** First Order Differential Equations - Edexcel IAL FP2 Jan 2021 Q4 | FRQ | 1 of 3 parts ((b)) | 5 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=795587dc-c050-4d74-94a1-5666aab6197a&question_id=9a2f429b-0bca-46e8-a79e-aa24252b5d55&source_detail=WFM02%2F01+January+2021) | | [**WFM02/01** October 2020 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2020-october-wfm02-01/#q-6) | **Q6** First Order Linear Differential Equations - Edexcel IAL FP2 2020 June Q6 | FRQ | 1 part | 8 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=49ccc10f-25ce-49f3-aded-cee45b397b52&question_id=c0e2b439-a22e-46bd-b15f-78e66c499648&source_detail=WFM02%2F01+October+2020) | | [**WFM02/01** June 2019 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2019-june-wfm02-01/#q-4) | **Q4** First order differential equations - Edexcel IAL FP2 2019 Jun Q4 | FRQ | 2 parts ((a), (b)) | 10 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5cb54cc5-026d-44cf-9830-5ea5c2e12512&question_id=25edf32c-619a-4a0c-8690-c8fb3cbdbe8f&source_detail=WFM02%2F01+June+2019) | | [**WFM02/01** June 2018 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2018-june-wfm02-01/#q-2) | **Q2** First Order Differential Equations - Edexcel IAL FP2 2018 Jun Q2 | FRQ | 2 parts ((a), (b)) | 8 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9dd10eb3-2db4-45de-b12b-1f0b303b1ff9&question_id=18071ca3-901d-4a44-990d-5dbe83b5db8a&source_detail=WFM02%2F01+June+2018) | | [**WFM02/01** June 2017 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2017-june-wfm02-01/#q-6) | **Q6** First Order Differential Equations - Edexcel IAL FP2 June 2017 Q6 | FRQ | 1 part | 8 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=6903615e-4d4b-462a-9c63-ab2b75a6d5ab&question_id=366663fa-71b6-4693-97ae-f583bd0faa00&source_detail=WFM02%2F01+June+2017) | | [**WFM02/01** June 2016 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2016-june-wfm02-01/#q-3) | **Q3** First Order Differential Equations - Edexcel IAL FP2 June 2016 Q3 | FRQ | 1 part | 6 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=489211ec-0dee-4c24-bbe6-4544fb2d95a0&question_id=20610412-3590-48c4-935d-f063c1dd28f1&source_detail=WFM02%2F01+June+2016) | | [**WFM02/01** June 2015 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2015-june-wfm02-01/#q-3) | **Q3** First Order Differential Equations - Edexcel IAL FP2 June 2015 Q3 | FRQ | 1 of 3 parts ((b)) | 5 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=32c563ef-83c8-456c-aafe-72e7eb88dee8&question_id=d2131b2b-dfc8-4a44-9b97-5362a2e3e881&source_detail=WFM02%2F01+June+2015) | | [**WFM02/01** June 2014 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2014-june-wfm02-01/#q-6) | **Q6** First Order Linear Differential Equations - Edexcel IAL FP2 June 2014 Q6 | FRQ | 1 part | 9 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=95cbab5e-7fc1-42e6-9579-add67b84a3d9&question_id=4835ee6e-15a6-46e6-92d4-0cef0af19bf5&source_detail=WFM02%2F01+June+2014) | ## Related topic questions in First order differential equations - [4.1 Further solution of first order differential equations with separable variables.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/first-order-differential-equations/4-1-further-solution-of-first-order-differential-equations-with-separable-variables/) — 2 question items · 1 papers — 9 marks · 2022 - [4.3 Differential equations reducible to the above types by means of a fa given substitution.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/first-order-differential-equations/4-3-differential-equations-reducible-to-the-above-types-by-means-of-a-fa-given/) — 20 question items · 10 papers — 71 marks · 2015–2026 ## Topic question rules and edge cases **How many topic questions cover this syllabus point?** 20 question stems cover this subtopic across 20 papers, but only 29 tagged parts and 142 marks belong to it. Other parts of the same questions are assessed under different statements and are excluded from this page. **Which papers include this subtopic?** The table lists every matching session from 2014–2026. Each row links to the question anchor on the paper page, where the full paper context and practice entry point are available. **Why can one question appear under several subtopics?** The parts of one question can assess different syllabus statements. Each part is counted under its own subtopics, so the same question stem can appear on several subtopic pages while each page lists only the parts and marks tagged to that statement. **Can I practise these questions with AI marking?** Yes. Open a paper from the table and use the Interactive Practice Hub entry point. The page itself is static HTML so search engines and retrieval agents can read the full question list without executing JavaScript. --- Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/first-order-differential-equations/4-2-first-order-linear-differential-equations-of-the-form-frac-dy-dx-py-q-where-p-and/