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Signals and Systems

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Please walk me through the solutions for these problems, showing all work so that I can understand how these are done (see the attached file).

1) Determine if the signal given is linear, time-invariant, causal, and/or memory-less.

y[n+1] + y[n] = 2x[n+1] - x[n]

2) For the series RLC circuit in the figure (in the attachment), find the input/output differential equation for y(t) = i(t).

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This posting determines if the signal given is linear, time-invariant, causal, and/or memory-less.

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