mym786
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If one has input x(t), then convolving x(t) with impulse response of the system would give the zero-state of the system.
For example, we have a system described as :
(D^{2} + 4D + 3)y(t) = (D+5)f(t).
I computed system impulse response which is :
h(t) = 2e^{-t} - e^{-3t}
Now if say f(t) = e^{t}
f(t) (convolved) h(t) does not equal the particular solution of D.E. (Particular solution is zero-state) .
Why ??
For example, we have a system described as :
(D^{2} + 4D + 3)y(t) = (D+5)f(t).
I computed system impulse response which is :
h(t) = 2e^{-t} - e^{-3t}
Now if say f(t) = e^{t}
f(t) (convolved) h(t) does not equal the particular solution of D.E. (Particular solution is zero-state) .
Why ??