What is the natural response for a system defined by differential equation +5e + 6y (t) = + 4x (t)? Assume the input x (t) = e-tu(t) and with dæ(t) de dt conditions y (0) = 3; = O -9e 2t. 6e 3t O 9e t . 6e st O -9e t + óe t O 9e t - 6e 2t

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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d'y(t)
+55
de
E dy(t)
dæ(t)
What is the natural response for a system defined by differential equation
+ by (t)
+4x (t)? Assume the input x (t) = eu(t) and with
dt
dt
conditions y (0) =3; = 0
O -9e 2t - 6e 3t
O 9e 2t - 6e t
O -9e 2t + 6e t
O 9e t - 6e 2t
Transcribed Image Text:d'y(t) +55 de E dy(t) dæ(t) What is the natural response for a system defined by differential equation + by (t) +4x (t)? Assume the input x (t) = eu(t) and with dt dt conditions y (0) =3; = 0 O -9e 2t - 6e 3t O 9e 2t - 6e t O -9e 2t + 6e t O 9e t - 6e 2t
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