Abstract :
The steady-state response of any differential equation is a polynomial of the same degree as the input if the coefficients of the differential equation are so chosen that all the roots of the characteristic equation have nonzero negative real parts. If the order of the differential equation is the same as the degree of the input function, then under the steady-state condition the input and its derivatives can he obtained from the output and its derivatives which are readily available from the analog setup simulating the differential equation. From this a delayed or an advanced function can he generated by using Maclaurin´s series expansion. The transient period of the scheme can be adjusted by a proper choice of the coefficients of the differential equation.
