Two systems S1 and S2 are connected in cascade and S1 is described as \(y\left( t \right) = \frac{d}{{dt}}x\left( t \right) + 2x\left( t \right)\) and S2 is an RC high pass filter with a time constant of τ = 1 sec. If the input of S1 is x(t) = e-2t u(t). The output of the cascaded system is

1
–te-t u(t)
2
te-t u(t)
3
δ(t) – e-t u(t)
4
δ(t) + e-t u(t)
5
None of these

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