4. Consider the following second-order, causal LTI differential system initially at rest and h(0*) = 0, dh(0*) = 1 dt d²y(t) +5y0 + 6y(t) = x(t) dt Calculate the impulse response of the system and the verify if the given LTI system is stable, casual or has memory. Wind

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4. Consider the following second-order, causal LTI differential system
initially at rest and h(0*) = 0,°
dh(0*)
3D1
dt
d²y(t)
+5dy(e + 6y(t) = x(t)
dt?
dt
Calculate the impulse response of the system and the verify if the given
LTI system is stable, casual or has memory.
Wind
Transcribed Image Text:4. Consider the following second-order, causal LTI differential system initially at rest and h(0*) = 0,° dh(0*) 3D1 dt d²y(t) +5dy(e + 6y(t) = x(t) dt? dt Calculate the impulse response of the system and the verify if the given LTI system is stable, casual or has memory. Wind
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