Consider the following first-order, causal LTI differential system S₁ initially at rest: dx(t) dt (a) Calculate the impulse response h₁(t) of the system S₁. Sketch it for a = 2. S₁: dy(t) dt + ay(t) = - 2x(t), a>0 is real.

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Consider the following first-order, causal LTI differential system S₁ initially at rest:
dy(t)
dt
dx(t)
dt
(a) Calculate the impulse response h₁(t) of the system S₁. Sketch it for a = 2.
S₂₁:
- + ay(t) =
- 2x(t), a>0 is real.
Transcribed Image Text:Consider the following first-order, causal LTI differential system S₁ initially at rest: dy(t) dt dx(t) dt (a) Calculate the impulse response h₁(t) of the system S₁. Sketch it for a = 2. S₂₁: - + ay(t) = - 2x(t), a>0 is real.
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