Do not use any Mathematico functions for this question, other than for plotting. a) Solve the following continuous dynamic system with the given initial value _\\ % = (21 33))? 7(0) = (5) [10 marks] Express the eigenvalues and eigenvectors using decimal numbers, to 2 decimal places. b) Plot the phase portrait for this system using Mathematica. Plot over the range 5 to 5 for both X1 and x2. [5 marks] c) Use Mathematica to plot a trajectory line for O S t s 0.750n top of your phase portrait from (b). To do so, use Mathematica to find the values of 7?(t) at t e {0, 0.25, 0.5, 0.75} [5 marks]