Question: Problem 1 ( 1 5 points ) Consider the following two systems, and show with full reasoning whether each of them is respectively a linear

Problem 1(15 points)
Consider the following two systems, and show with full reasoning whether each of them is respectively a linear system? Whether it is a time-invariant system? Whether it is a stable system?
The input to each system is denoted by x(t), and the output is denoted by y(t). For the first system, we have y(t)=sin(x(t)). For the second system, we have y(t)=tsin(t)x(t).
Problem 1 ( 1 5 points ) Consider the following

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