# HL AI – Differential Equations

## First Order

## Phase Portraits

## Euler's Method 1

## Euler's Method 2

## Coupled Equations

## Differential Review

## Traffic Light Coding for Unit

Make your own copy and share with your students.

##### Learning Outcomes

Understand and use first order differential equations. |

Numerical solutions to differential equations using Euler’s method. |

Separating variables to solve differential equations. |

Numerical solutions with coupled systems. |

Phase portrait for the solutions of coupled differential equations. |

Qualitative analysis of future paths for distinct, real and imaginary eigenvalues. |

Sketching trajectories and using phase portraits to identify special points. |

Solutions of the second differential by use of Euler’s method. |