4. A linear network has the system functionT(s) = H (s+c) (s+a)(s+b) = 0The outputs of the network with zero initial conditions for two different inputs are tabled asInput x(t)Output y(t)u(t)2+ Det + Ee-3te-2tu(t)Fe-t + Ge-3tFind the values of c and H.
Question
- A linear network has the system functionT(s) = H (s+c) (s+a)(s+b) = 0The outputs of the network with zero initial conditions for two different inputs are tabled asInput x(t)Output y(t)u(t)2+ Det + Ee-3te-2tu(t)Fe-t + Ge-3tFind the values of c and H.
Solution
The problem seems to be incomplete. The system function T(s) = H(s+c)/(s+a)(s+b) = 0 is given, but the values of a and b are not provided. Also, the outputs y(t) are given for two different inputs x(t), but the relationship between the inputs and outputs is not clear.
In general, to find the values of c and H, you would need to use the Laplace transform properties and the given system function. You would compare the given outputs y(t) with the expected outputs based on the system function and the inputs x(t). However, without the missing information, it's not possible to solve this problem.
Please provide the complete problem or any additional information you might have.
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