Consider the following continuous$-$time systems with the given input$-$output relationships, where $\backslash ($ x$($t$)\backslash )$ represent input and $\backslash ($ y$($t$)\backslash )$ represent output.

For each of these systems determine whether the system is linear, time$-$varying, causal and BIBO stable. Proofs or justifications are not required. You need to just write Yes or No in the table.