Question: The following differential equations represent linear time-invariant systems. Write the dynamic equations (state equations and output equations) in vector form. (a) dy(t) dt (b) 2dy(t)

The following differential equations represent linear time-invariant systems. Write the dynamic equations (state equations and output equations) in vector form.

(a) dy(t) dt (b) 2dy(t) dt3 +3y(1) dy(t) dr dy(t) +4 +y(t)

(a) dy(t) dt (b) 2dy(t) dt3 +3y(1) dy(t) dr dy(t) +4 +y(t) = 5r(t) dt dy(t) +5 +2y(t) dt = r(t) (c) dy(t) dy(t) +5 d13 di +3dy(1) dt + y(t) + [[ y(t)dt = r(t) (d) dy(t) 3 dy(t), 5 dy(t) + + dt4 2 d13 2 dt +y(t) = 2r(t).

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