(1 point) Write the given second order equation as its equivalent system of first order equations.

u+8u2u=8sin(3t), u(1)=3.5, u(1)=5

Usevto represent the "velocity function", i.e.v=u(t). Usevandufor the two functions, rather thanu(t)andv(t). (The latter confuses webwork. Functions likesin(t)are ok.) u= v=

Now write the system using matrices:

d/dt=

[	u	]
v

=

[			]

[	u	]
v

+

[		]

and the initial value for the vector valued function is:

[	u(1)	]
v(1)

=

[		]

.