PLEASE DO THE FOLLOWING IN MATLAB

Objectives: * To use Matlab function dsolve) to compute zero-input response and compare the results with hand computation comput with hand con punstionle Problems 2.2-1 2.2-7 in Textbook: Find the characteristic polynomial, characteristic equation, characteristic roots, and characteristic modes, and zero-input response y(t) of the following systems: Characteristic Characteristic Characteristic Characteristic Zero-Input Polynomial Problems 2.2-12.2-7 Equation Roots Modes Response (D" + 5D + 6)y(t) = (D + 1)x(t) (D" + 4D+ 4)y(t) = Dx(t) y(0)-3, 0)-4 D(D + l)y(t) = (D + 2)x(t) y(0-)-1, j(0-)-1 (D2 + 9)y(t) = ( 3D + 2)x(t) (D" + 4D + 13)y(t) = 4(D + 2)x(t) y(0-)= 5, j(0-)=15.98 2 (D+ 1)y(t) = (D" + 2)x(t) (D + l)(D2 + 5D+ 6)(t) = Dx(t)