The input-output relationship of a time-invariant, linear, continuous-time system is given by the differential equation below. d у" + 5у +6у: -и + и dt Zero state response ofu (t) = 6t the system in case of input sign yo (t) It is obtained by the following mathematical expression. A C t2 + t + D E Yo(t) = В F Örnek: Sonucu b = 2 bulduysanız a = 2, b = 1 olacaktır. Sonucu b -3 bulduysanız a = -3, b = 1 olacaktır. Sonucu - = 0 bulduysanız a = 0, b 1 b = 1 olacaktır. Sonucu ; bulduysanız a = -1, b = 2 olacaktır. %3D b What is the value of parameter F ? F = II ||

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The input-output relationship of a time-invariant, linear, continuous-time system is given by the
differential equation below.
d
y" + 5 y' + 6y =
u + u
dt
Zero state response ofu (t) = 6t² the system in case of input sign Yo (t) It is obtained by the
following mathematical expression.
C
E
t +
F
Yo(t) =
t2 +
Örnek: Sonucu
a
а
= 2 bulduysanız a = 2, b = 1 olacaktır. Sonucu
b
b
-3 bulduysanız
a = -3, b = 1 olacaktır. Sonucu - = 0 bulduysanız a =
= 0,
%3D
%3D
b
b = 1 olacaktır. Sonucu
a
II
- bulduysanız a =-1, b = 2 olacaktır.
%3D
b
2
What is the value of parameter F?
F =
Transcribed Image Text:The input-output relationship of a time-invariant, linear, continuous-time system is given by the differential equation below. d y" + 5 y' + 6y = u + u dt Zero state response ofu (t) = 6t² the system in case of input sign Yo (t) It is obtained by the following mathematical expression. C E t + F Yo(t) = t2 + Örnek: Sonucu a а = 2 bulduysanız a = 2, b = 1 olacaktır. Sonucu b b -3 bulduysanız a = -3, b = 1 olacaktır. Sonucu - = 0 bulduysanız a = = 0, %3D %3D b b = 1 olacaktır. Sonucu a II - bulduysanız a =-1, b = 2 olacaktır. %3D b 2 What is the value of parameter F? F =
Expert Solution
Step 1

The input-output relationship of a continuous-time LTI system is given by the following differential equation:

y''+5y'+6y=u'+u   ...1.

The zero-state response yϕt for the input ut=6t2 is also given as

yϕt=ABt2+CDt+EF   ...2.

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