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Signals and Systems by Smarajit Ghosh

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3.9 RELATION BETWEEN DIFFERENTIAL EQUATION AND SYSTEM FUNCTION

Let us consider the following differential equation relating the input x(t) and y(t)

 

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Taking Fourier transform of both sides, we get

 

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Example 3.1   If the input of the differential equation

 

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find the steady state response.

Solution

Let the input be so that the output ...

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