Obtain Direct Form 1 realization of $$ \frac{d^{2} y(t)}{d t^{2}}+5 \frac{d y(t)}{d t}+4 y(t)=\frac{d x(t)}{d t} $$

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Fernandez Knight · Accepted Answer

The Direct Form 1 realization of the given differential equation involves defining state variables $$ x_1(t) = y(t) $$ and $$ x_2(t) = \frac{d y(t)}{d t} $$, and then using state update equations to update these variables at discrete time intervals. The output $$ y(t) $$ is simply $$ x_1(t) $$.

Obtain Direct Form 1 realization of \[ \frac{d^{2} y(t)}{d t^{2}}+5 \frac{d y(t)}{d t}+4 y(t)=\frac{d x(t)}{d t} \]

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Obtain Direct Form 1 realization of \[ \frac{d^{2} y(t)}{d t^{2}}+5 \frac{d y(t)}{d t}+4 y(t)=\frac{d x(t)}{d t} \]

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