Question: a) Solve the initial value problem given by : = 5y, y' = -5x, r(0) = 10 and y(0) = 6, by converting the

a) Solve the initial value problem given by : = 5y, y'

a) Solve the initial value problem given by : = 5y, y' = -5x, r(0) = 10 and y(0) = 6, by converting the system into a single linear second order equation. Your solutions will be r(t) and y(t). Show your full analytical work. [7 marks] b) If t [0,27/5], find and sketch the curve represented by the parametric equation given by x(t) and y(t), and also show the location of your initial condition r(0) and y(0). You can use parametric plots in matlab or just sketch by hand. [2 marks).

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