The LTI system shown below has input voltage x(t) and outputvoltage y(t). The Fourier Transform of x(t) and y(t) are denoted byX(ω) and Y(ω) respectively. R=1Ω, L=1H in the diagram.
In time domain, the input and output are related by thedifferential equation:
Using Fourier Transform properties, write the input-output equationin the frequency domain by equation the Fourier Transforms of theLeft Hand Side and the Right Hand Side of the differentialequation. The frequency domain equation should be in terms ofX(ω) and Y(ω)


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