(1 point) This is the first part of a two-part problem. Let

P=[0, 8 ]

8, 0] (matrices)

y1(t)=[cos(8t)

(sin(8t))],

y2(t)=[8sin(8t)

8cos(8t)].

Show that y1(t) is a solution to the system y=Py by evaluating derivatives and the matrix product.

y1(t) = ([0, 8

-8, 0])(y1(t)) Enter your answers in terms of the variable t.

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Then, Show that y2(t) is a solution to the system y=Py by evaluating derivatives and the matrix product

y2(t) = ([0, 8

8, 0])(y2(t)) Enter your answers in terms of the variable t.

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