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

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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