This lecture from MIT is 40-50 minutes long delivered by Professor Arthur Mattuck and covers y'=f(x,y): Direction Fields, Integral Curves.
These lectures will give you some idea of how this subject is treated at university level.

## Software/Applets used on this page

Free lecture notes, exams, and videos are available from Massachusetts Institute of Technology at MIT. No registration required.

## Glossary

### integral

the anti-derivative

## This question appears in the following syllabi:

Syllabus | Module | Section | Topic | Exam Year |
---|---|---|---|---|

AP Calculus AB (USA) | 4 | 1st Order Differential Equations | XTRA | - |

AP Calculus BC (USA) | 4 | 1st Order Differential Equations | XTRA | - |

AQA A-Level (UK - Pre-2017) | FP3 | 1st Order Differential Equations | XTRA | - |

AQA A2 Further Maths 2017 | Pure Maths | Extra | Differential Equations Videos | - |

AQA AS/A2 Further Maths 2017 | Pure Maths | Extra | Differential Equations Videos | - |

CCEA A-Level (NI) | FP2 | 1st Order Differential Equations | XTRA | - |

Edexcel A-Level (UK - Pre-2017) | FP2 | 1st Order Differential Equations | XTRA | - |

Edexcel A2 Further Maths 2017 | Core Pure Maths | Extra | (1st) Differential Equations - Extra | - |

Edexcel AS/A2 Further Maths 2017 | Core Pure Maths | Extra | (1st) Differential Equations - Extra | - |

I.B. Higher Level | 9 | 1st Order Differential Equations | XTRA | - |

Methods (UK) | M11 | 1st Order Differential Equations | XTRA | - |

OCR A-Level (UK - Pre-2017) | C4 | 1st Order Differential Equations | XTRA | - |

OCR A2 Further Maths 2017 | Pure Core | Extra | Differential Equations Videos | - |

OCR MEI A2 Further Maths 2017 | Core Pure B | Extra | Differential Equations Videos | - |

OCR-MEI A-Level (UK - Pre-2017) | DE | 1st Order Differential Equations | XTRA | - |

Universal (all site questions) | F | 1st Order Differential Equations | XTRA | - |

WJEC A-Level (Wales) | C4 | 1st Order Differential Equations | XTRA | - |