[Solution Library] Linearity. Let u and y be real scalar functions of time. For each of the following maps H, indicate whether or not the system is linear.
Question: Linearity. Let \(u\) and \(y\) be real scalar functions of time. For each of the following maps \(H\), indicate whether or not the system is linear. Explain your answers.
- \(y(t)=e^{u(t)}\)
- \(y(t)=a u(t)+b\)
- \(y(t)=u(-t)\)
- \(y(t)=\int_{0}^{t} e^{-\sigma} u(t-\sigma) d \sigma\)
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