Simple Harmonic Motion (SHM) Equations What is simple harmonic motion? A particle undergoing simple harmonic motion moves along a straight line subject to the following constraints: The acceleratio...
Coupled First Order Linear Equations What are coupled first order linear differential equations? Coupled first order linear differential equations are a pair of simultaneous differential equations ...
Second Order Differential Equations What is a second order differential equation? A second order differential equation is an equation containing second order derivatives (and possibly first order d...
Modelling using First Order Differential Equations Why are differential equations used to model real-world situations? A differential equation is an equation that contains one or more derivatives D...
First Order Differential Equations What is a differential equation? A differential equation is simply an equation that contains derivatives For example is a differential equation And so is What is...
General Solutions What is a differential equation? Any equation, involving a derivative term, is a differential equation Equations involving only first derivative terms are called first order diffe...
Finding Tangents to Polar Curves What is the gradient/tangent of a polar curve? Gradients (and tangents) are the same as using Cartesian coordinates i.e. a gradient of 1 in Cartesian coordinates is...
Intro to Polar Coordinates What are polar coordinates? Polar coordinates are an alternative way (to Cartesian coordinates) to describe the position of a point in 2D (or 3D) space In 2D, the positio...
Shortest Distance between a Point & a Plane How do I find the shortest distance between a given point on a line and a plane? The shortest distance from any point on a line to a plane will alway...
