The following is used for the assessment of SO 1 (An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics): Problem A. Consider the following system of integro-differential equation: [yi(t) + 2 *e-(-y (t)dt + 3 f *y(t)dt + y(t) = 8(t) y2(t)-4y(1 y(t)dt = u(t) 0 where y(0) = 0, y2(0) = 1 and yi(0) = -1, y2(0) = 1. Using the Laplace Transform, determine y (t) and y(t). Do not use any computer software to determine the Laplace or Inverse Laplace Transforms. Clearly specify any applied property/theorem. Use any computer software to obtain the plots of y(t) and y2(t) versus t in one coordinate system. Obtain the plots for 0t 5 s and 0 t 10 s. Attach the command statements/programming. A. The following is used for the assessment of PO a (An ability to apply knowledge of mathematics, science, and engineering): Problem 1. Given the following system of equations: 4y + y2 - 2y3 = 0 -2y + y3 = 1 2y2 - 4y3 = - 16t where y (0) = 2, y(0) = 0, and y3 (0) = 0, determine y (t), y(t), and y3(t) using Laplace Transform. Do not use any computer software.