Modelling with Parametric Equations What can be modelled with parametric equations? A common use for parametric equations is motion in two dimensions x = f(t) – horizontal position, dependent on ti...
Parametric Integration How does integration work with parametric equations? Integration is used to find the area under a curve where the curve has been defined by parametric equations x = f(t) y =...
Parametric Differentiation How do I find dy/dx from parametric equations? Ensure you are familiar with Parametric Equations – Basics first This method uses the chain rule and the reciprocal proper...
Parametric Equations - Sketching Graphs How do I sketch a graph from parametric equations? Plotting a graph is covered in Parametric Equations - Basics Still find the key features of a graph … … t...
Parametric Equations - Eliminating the Parameter What does eliminating the parameter mean? In parametric equations, x = f(t) and y = g(t) There is still a connection directly linking x and y This ...
Parametric Equations - Basics What are parametric equations? Graphs are usually described by a Cartesian equation The equation involves x and y only Equations like this can sometimes be rearranged...
Solving & Interpreting Differential Equations How do I solve a differential equation? Solving differential equations uses integration! The precise integration method will depend on the type of ...
Modelling with Differential Equations What can be modelled with differential equations? Derivative terms like are “rates of change” There are many situations that involve “change” Temperature R...
Separation of Variables What does separation of variables mean? Many differential equations used in modelling either … … have two variables involved (ie x and y), or, ... involve a function of the ...
