# Differential Equations

A differential equation is an equation relating some unknown function to its derivatives. Solving such an equation means finding all functions for which the equation holds true. Differential equations pop up in most areas of science and technology, specifically whenever a relation involving some continuously varying quantities (modeled by functions) and their rates of change in space or time (expressed as derivatives) are known. Isaac Newton was, together with his German counterpart Gottfried Leibniz, one of the first to demonstrate the effectiveness of this approach in physics, using it to establish his laws of motion and subsequent model of gravitation.

## Topics:

**Weekly schedule:**Semesteruke 11

**Lectures:**Lectures 27 and 28

**Textbook:**Sections 7.9, 18.1 og 18.3

**Videos:**Differential equations videos

**Examples:**Differential Equations examples

**Maple:**

-:Ordinary differential equations

-:Numerical methods

**Exercises:** Differential Equations exercises

**Project problems:** Differential Equations project problems

**Maple TA test:** Maple TA