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Consider a LTI system described by the differential equation d^2y(t)/dt^2 + 3dy(t)/dt + 2y(t) = dx(t)/dt a. Write the system transfer function H(j?) as a rational polynomial in j?. b. Use the partial fractions method to write the impulse response h(t) of the system. c. Write the step response of the system. (Recall that the step response of the system is the output when the input is u(t))

Consider a LTI system described by the differential equation d^2y(t)/dt^2 + 3dy(t)/dt + 2y(t) = dx(t)/dt a. Write the system transfer function H(j?) as a rational polynomial in j?. b. Use the partial fractions method to write the impulse response h(t) of the system. c. Write the step response of the system. (Recall that the step response of the system is the output when the input is u(t))

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Consider a LTI system described by the differential equation d^2y(t)/dt^2 + 3dy(t)/dt + 2y(t) = dx(t)/dt a. Write the system transfer function H(j?) as a rational polynomial in j?. b. Use the partial fractions method to write the impulse response h(t) of the system. c. Write the step response of the system. (Recall that the step response of the system is the output when the input is u(t))

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