provide MATLAB code

2.7-1 An LTIC system with input x(t) and output y(t) is described by the following constant coefficient linear differential equation: (D4 16) {y(t)} = (D 2) {x(t)}. (a) What are the 4 characteristic roots of this system (11, 22, 23, and 14)? Determine the roots by hand and then verify your answers using MATLAB's roots command. (b) From Eq. (2.17), computing h(t) requires a signal n(t) = {X=1 Ckenkt. First, determine a matrix representation of the system of equations needed to solve for the four coefficients Ck. Second, write MATLAB code that computes the length-4 column vector of coefficients Ck