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Linearity, order, casuality, and time variance for systems

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June 18th, 2023

What are the linearity, order, causality, and time variance of each input-output relationship for systems?

1. (dy/dt) + (1/RC)y(t) = x(t) when RC = constant

2. (dy/dt) + (t^2)y(t) = x(t)

3. (d^2y/dt^2) + y(t)(dy/dt) + y(t) = x(t)

4. y(t) = x^2(t) + 1.

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