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s04_ps08_spring04

s04_ps08_spring04 - Unied Engineering II Spring 2004...

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Unified Engineering II Spring 2004 Problem S4 (Signals and Systems) Note: This problem is similar to one given a couple years ago. Please try to do this one without looking at bibles — the solution is instructive. One of the benefits of the approach of using the superposition integral is that you don’t have to guess the particular solution — it pops right out of the integral, automatically. In some cases, the particular solution can be hard to guess, but easy to find using the convolution integral. To see this, consider the system described by the differential equation d 2 d dt 2 y ( t ) + 5 y ( t ) +
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