Determine the frequency response h of lti system

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Reference no: EM13257739

Consider the casual LTI system where the output relates to the input by the following differential equation:

dy(t)/dt + 2y(t) = x(t)

a) Determine the frequency response H(jw).

b) Determine Y(jw) and y(t) if you have inputs with the following Fourier Transforms:

a. X(jw)=(1+jw)/(2+jw)

b. X(jw)=(2+jw)/(1+jw)

c. X(jw)=1/(1+jw)(2+jw)

Reference no: EM13257739

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