Question: Do not use Mathematica functions for this question other than for plotting. a) Solve the following second-order homogenous differential equation by first converting the problem

Do not use Mathematica functions for this question other than for plotting. a) Solve the following second-order homogenous differential equation by first converting the problem into a continuous dynamic linear system. (Do not use the direct calculus techniques learned in MFOM I to solve this equation.) f"(t) +f'(t)-6f(t) =0 wheref(0) = 0 andf' (0) =3 [12 marks] b) Use Mathematica to plot the solution for 0
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