(b) Suppose that for a 4 X 4 constant coefficient, linear, first order, homogeneous system X =Ax the following are four linearly independent solutions: cos 2t sin 2 sin 2t + cos 2t Cc0S 5t sin 5t sin 5t + cos 5t cos 2t + sin 2 sin 2t cos 2t 2sin 5 2 cos 5t cos 2t ' sin 2t ) 2sin 5 ' 2 cos 5t cos 2t sin 2 0 0 Determine all initial conditions x(0) so that: I. The trajectory x() is aline. Il. The trajectory x(t) is a planar curve