# FP2 Edexcel Maths Tutorials

It is advisable to check the official FP2 Edexcel specification in case of changes: specification

## Contents

## Complex Numbers

## Further Complex Numbers

## De Moivre’s Theorem

## Loci in the Complex Plane

## Transformations of the Complex Plane

## First Order Linear Differential Equations

## Separating the Variables

## Exact Equations (Integrating Factors)

## Substitution Types

## Second Order Linear Differential Equations

## Equations of the form a d²y/dx² + b dy/dx + cy = 0

## Equations of the form a d²y/dx² + b dy/dx + cy = f(x)

- General solutions where f(x) = k (constant types)
- General solutions where f(x) = kx (linear types)
- General solutions where f(x) = kx
^{2}(quadratic types) - General solutions where f(x) = ke
^{px}(exponential types) - General solutions where f(x) = λ cosωx + µ sinωx (trig types)
- Special types of particular integrals
- Exam Questions - General solutions where f(x) = kx (linear types)
- Particular solutions using boundary conditions to solve differential equations
- Exam Questions - Exponential Type ke
^{px}(exponential types) - Exam Questions - Particular solutions using boundary conditions