# Tag Info

### First Order State Space Question

In this system, the state (𝑥(𝑡)) and "output" (𝑦(𝑡)) are the same (both scalars) They don't have to be. Why do we instead get 𝐶=1𝜏 and a separation between the state and output? ...
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Accepted

### First Order State Space Question

If $X(s)$ and $Y(s)$ are the input and output in the Laplace domain, respectively, we have $$Y(s)(s\tau +1)=X(s)\tag{1}$$ In the time domain, this is equivalent to $$\tau y'(t)+y(t)=x(t)\tag{2}$$ It ...
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