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Contents
- Whole Topic Notes
- 9A First Order Differential Equations
- 9B Second Order Differential Equations
- 9C Modelling with Differential Equations
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Download Full Topic Slides
- Textbook Notes as PPTs (Courtesy of Owen134866)
Full Notes to Accompany Slides
Word Doc
Dr Frost
- Dr Frost AS Core Pure Argand Diagrams Section
- Dr Frost AS Core Pure Argand Diagrams Slides
- Blank Notes to Follow Slides Word Doc or PDF (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
Notes
- Physics & Maths Tutor
- FP1 Ch.9 Reducible Differential Equations: Cheat sheet
9A First Order Differential Equations
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Tutorial Videos
Differential Equations – Substitution Type (1) : ExamSolutions Maths Tutorials by ExamSolutions
Differential Equations – Substitution Type (2) : ExamSolutions Maths Tutorials by ExamSolutions
9.1 First-order differential equations (FP1 – Chapter 9: Reducible differential equations) by Hinds Maths
A Level Further Maths by AJMaths
Download Blank Notes
Word Doc
Download Slides
2A Slides (Courtesy of Owen134866)
Dr Frost resources
No Live Lesson from Bicen Maths Yet
Download Blank Notes
Word Doc
(Courtesy of King’s Chester Maths Department)
Download Slides
- Dr Frost Slides 1-5
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 784a: Use a substitution y = vx to turn a differential equation given in the form dy/dx = f≤ft(y/xright) into a linearly separable one. (not yet active)
- 784b: Determine the general solution of first-order differential equation where a substitution can be used to reduce it to a linearly separable one. (not yet active)
- 784c: Use a substitution to turn a first-order differential equation (without hyperbolic terms) into one that could be solved using an Integrating Factor. (not yet active)
- 784d: Use a substitution to turn a first-order differential equation with hyperbolic terms into one that could be solved using an Integrating Factor. (not yet active)
- 784e: Determine the general solution of a first-order differentiation equation where a substitution can be used to reduce to the form dy/dx + P(x) y = Q(x) (not yet active)
- 784: Exam Practice: Substitutions to reduce a differential equation
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
Online Platforms
- Khan Academy
- Homogeneous first order differential equations: Videos & practice
Worksheets
- MadAsMaths (T. Madas)
- First Order Differential Equations Exam Questions Q21, 23 (difficulty 4 of 5)
- First Order Differential Equations by Substitution Q1–40, 42–45 (difficulty 2–5 of 5)
- Differential Equations in Context With Modelling Q42 (difficulty 5 of 5)
- Separable Differential Equations General Solutions Q15–16 (difficulty 5 of 5)
9B Second Order Differential Equations
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Tutorial Videos
2nd Order Differential. Equations – Making a substitution : ExamSolutions Maths Revision by ExamSolutions
9.2 Second-Order Differential Equations (FP1 – Chapter 9: Reducible differential equations) by Hinds Maths
A Level Further Maths by AJMaths
Download Blank Notes
Word Doc
Download Slides
2B Slides (Courtesy of Owen134866)
Dr Frost resources
Download Blank Notes
Word Doc
(Courtesy of King’s Chester Maths Department)
Download Slides
- Dr Frost Slides 6-9
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 784f: Use a substitution to reduce a second-order differential equation into one in the form a d2 y/dx2 + b dy/dx + cy = … (not yet active)
- 784g: Find the general solution of a second-order differential equation where a substitution can be used to reduce to the form a d2 y/dx2 + b dy/dx + cy = f(x) (not yet active)
- 784: Exam Practice: Substitutions to reduce a differential equation
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 2×2 transformations and questions
Worksheets
- MadAsMaths (T. Madas)
- Second Order Differential Equations by Substitution Q1–19, 21–23 (difficulty 3–5 of 5)
- Second Order Differential Equations Practice Euler Type Q1
9C Modelling with Differential Equations
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Tutorial Videos
9.3 Modelling with Differential Equations (FP1 – Chapter 9: Reducible differential equations) by Hinds Maths
A Level Further Maths by AJMaths
Download Blank Notes
Word Doc
Download Slides
2C Slides (Courtesy of Owen134866)
Dr Frost resources
Download Blank Notes
Word Doc
(Courtesy of King’s Chester Maths Department)
Download Slides
- Dr Frost Slides 10-12
Extra Questions
- Dr Frost Questions (very short)
Key Skills
No Key Skills Yet
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 3×3 transformations and questions
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for Further Pure 1 Differential Equations
External Whole Topic Past Paper Style Questions
- WW Dr Frost Style QQQs (Version 1) Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
- WW Dr Frost Style QQQs (Version 2) Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
- WW Dr Frost Style Summary Sheet Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
Worksheets
- Mathshelper (Jon Stone)
- Physics & Maths Tutor
- FP1 Ch.9 Reducible Differential Equations: Questions by topic