Modelling with Differential Equations (Edexcel A-Level Mathematics): Flashcards

It's applying math to describe how quantities change over time.

Identify dependent and independent variables for the problem.

Identify relationships among variables or rates of change.

Identify the dynamic relationships in the system.

Find the general or particular solution to the equation.

Relate the solution back to the original problem context.

The equation: $dP/dt = kP$, with $k$ being a constant.

The population grows exponentially over time.

It's $dT/dt = -k(T - T_r)$, where $T_r$ is room temperature.

A mass oscillates due to forces proportional to its displacement.