The two functions x(t) and y(t) satisfy the simultaneous equations dx/dt - 2y = -sin(t), dy/dt + 2x = 5cos(t) Find explicit expressions for x(t) and y(t), given that x(0) = 3 and y(0) = 2. Sketch the solution trajectory in the xy-plane for 0 ≤ ? < 2?, showing that the trajectory crosses itself at (0, 1/2) and passes through the points (0, −3) and (0, −1) in the negative x-direction.

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