Maths with David

    IBDP. AI. HL. DEs. Coupled Linear Differential Equations

    Let’s consider the following special form of coupled differential equation:

    • \frac{dx}{dt} = ax + by
    • \frac{dy}{dt} = cx + dy .

    This can be written in the matrix form \begin{pmatrix} a & b \\ c & d \end{pmatrix} .

    By letting \bold{x} = \begin{pmatrix} x \\ y \end{pmatrix}