ursin niwoliot si to (3)s 00 Dulce oAT DOET The following questions are based on the 2nd order ODE given below: *+ 9x +20x = 0 (0)x ancilibros Iskini a. Solve for the particular solution, x (t), of this ODE by hand, assuming I.C. x(0) = 4, *(0) = 1 b. Write the system as two linear ODEs in the form y = Ay, solve by decomposing [A] into eigenvalues [D] Vericand eigenvectors [T] (Use of MATLAB is ok) oynasia c. Write out the final solution in the form of x(t) = TePtT-1x0. MATLAB may be used to calculate the coefficients however the written solution must be in terms of "et" BAITAM 92U d. Plot solutions x (t) and v(t) in MATLAB within the time range of 0 to 3.