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Physical interpretation for system of ODE

  1. Sep 25, 2015 #1
    If an ODE of 2nd order like this A y''(x) + B y'(x) + C y(x) = 0 has how physical/electrical interpretation a RLC circuit, so, how is the electrical interpretation of a system of ODE of 1nd and 2nd order?

    [tex]
    \begin{bmatrix}
    \frac{d x}{dt}\\
    \frac{d y}{dt}
    \end{bmatrix}
    =
    \begin{bmatrix}
    \alpha_{11} & \alpha_{12} \\
    \alpha_{21} & \alpha_{22}
    \end{bmatrix}

    \begin{bmatrix}
    x\\
    y
    \end{bmatrix}[/tex]
    [tex]
    \begin{bmatrix}
    A_{11} & A_{12} \\
    A_{21} & A_{22}
    \end{bmatrix}

    \begin{bmatrix}
    \frac{d^2 x}{dt^2}\\
    \frac{d^2 y}{dt^2}
    \end{bmatrix}
    +
    \begin{bmatrix}
    B_{11} & B_{12} \\
    B_{21} & B_{22}
    \end{bmatrix}

    \begin{bmatrix}
    \frac{d x}{dt}\\
    \frac{d y}{dt}
    \end{bmatrix}
    +
    \begin{bmatrix}
    C_{11} & C_{12} \\
    C_{21} & C_{22}
    \end{bmatrix}

    \begin{bmatrix}
    x\\
    y
    \end{bmatrix}
    =
    \begin{bmatrix}
    0\\
    0
    \end{bmatrix}[/tex]
     
  2. jcsd
  3. Sep 26, 2015 #2

    Simon Bridge

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    Can you interpret systems of DEs in terms of mixing in tanks?
     
  4. Sep 26, 2015 #3
    Could it be a system of two damped oscillators coupled to each other?
     
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