modeling3 - conditions to obtain ( 29 ( 29 ( 29 ( 29 15 56...

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Modeling Q UESTION 3 For each of the following transfer functions, write the corresponding differential equation. a. ( 29 ( 29 2 1 2 7 X s F s s s = + + b. ( 29 ( 29 ( 29 ( 29 10 7 8 X s s F s s s = + + c. ( 29 ( 29 3 2 9 15 X s s F s s s + = + + Cross multiply ( 29 ( 29 2 1 2 7 X s F s s s = + + to obtain ( 29 ( 29 ( 29 ( 29 2 2 7 s X s sX s X s F s + + = and take the inverse Laplace transform with zero initial conditions to obtain ( 29 ( 29 ( 29 ( 29 2 7 x t x t x t f t + + = Expand ( 29 ( 29 ( 29 ( 29 10 7 8 X s s F s s s = + + and cross multiply to obtain ( 29 ( 29 ( 29 ( 29 2 15 56 10 s X s sX s X s sF s + + = . Take the inverse Laplace transform with zero initial
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Unformatted text preview: conditions to obtain ( 29 ( 29 ( 29 ( 29 15 56 10 x t x t x t f t + + = & && & Cross multiply ( 29 ( 29 3 2 9 15 X s s F s s s + = + + to obtain ( 29 ( 29 ( 29 ( 29 ( 29 3 9 15 2 s X s sX s X s sF s F s + + = + and take the inverse Laplace Transform with zero initial conditions to obtain ( 29 ( 29 ( 29 ( 29 ( 29 9 15 2 x t x t x t f t f t + + = + & &&& &...
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