3.9 Relation between Differential Equation and System Function

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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)

Taking Fourier transform of both sides, we get

Example 3.1 If the input of the differential equation

find the steady state response.

Solution

Let the input be so that the output ...

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