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Asked Dec 1, 2019
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2. Aoystem is deseribed by the following diflerential equation:
dx(t)
where x(t) is the input to the
dt
d'y)
dr
system and y(t) is the output from the oystem. What will be the transfer
dy(t)
+6y(t) x(t) +3
+5)
dt
funetion of the dystem!
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Image Shapes Tools Clipboard 100 400 В00 200 500 0 700 600 2. Aoystem is deseribed by the following diflerential equation: dx(t) where x(t) is the input to the dt d'y) dr system and y(t) is the output from the oystem. What will be the transfer dy(t) +6y(t) x(t) +3 +5) dt funetion of the dystem!

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Expert Answer

Step 1

Taking laplace t...

d y(t)
dy(t)
dx(t)
5.
6 y (t)= x(f)3
dt
dt
Let us say that the initial conditions are zero, thus
By taking Laplace Transform
s'Y(s)+5sY(s)6Y(s) = X(s)+3sX(S)
r.(s2 +5s +6)Y(s) = (1+3s)X(s)
Y(s)
or
(13s)
X(s) s+5s+6
2
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d y(t) dy(t) dx(t) 5. 6 y (t)= x(f)3 dt dt Let us say that the initial conditions are zero, thus By taking Laplace Transform s'Y(s)+5sY(s)6Y(s) = X(s)+3sX(S) r.(s2 +5s +6)Y(s) = (1+3s)X(s) Y(s) or (13s) X(s) s+5s+6 2

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