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(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).
(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= |
| = |
|
| + |
|
and the initial value for the vector valued function is:
| = |
| . |
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