The initial conditions for a two-dimensional isotropic oscillator are as follows: t = 0, x...

The initial conditions for a two-dimensional isotropic oscillator are as follows: t = 0, x = A, y = 4A,  where (ω is the angular frequency. Find x and y as functions oft. Show that the motion takes place entirely within a rectangle of dimensions 2A and 10A. Find the inclination ψ of the elliptical path relative to the x-axis. Make a sketch of the path.