A system with input x(t) has output given by: Determine if the system is: a. Linear b. Time-invariant y(t) = t Sé 18 u-t ex(u) du

It should contain your answers, graphics, and MATLAB codes in a clear sequence order. Q1. Consider the differential equation: dy(t) + 2y(t) = 2x(t) %3D dt Let the input signal be a sin wave: x(t) = sin(t) For t>0 and initial condition of y(0) = 0 Find and plot the solution y(t) inMATLAB

Let x(t) is an input to a continuous time linear time system S and y(t) is the output. The input-output relation is given by, x(t)=e^ j3t longrightarrow y(t) = j * e ^ (j * 5t) x(t) = e ^ (- j * 3t) -> y(t) = - j * e ^ (- j * 5t) What is the output y(t) when the input x_{1}(t) = cos(5((3t)/5 - 2))

Please use Laplace Transform Only.need only handwritten solution .otherwise downvote.