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?(adsbygoogle = window.adsbygoogle || []).push({});

[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]

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# Physical interpretation for system of ODE

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