1. For a point moving on a circle at constant angular velocity, w, the by and y coordinates are given 2 dy dax = wy, dt dt Solve the above equations using a) the forward Euler scheme and b) the centred-difference scheme with a forward Euler first step. Use the following parameters: T 72h, At 0.5h, xo x(t 0) 600km yo 0. Integrate for 144 h and plot the a, y coordinates on a polar plot. Comment on your results.