Differential

Transfer function of a nonhomogeneous difference equation

Transfer function of a nonhomogeneous difference equation
  1. What is nonhomogeneous differential equation?
  2. How do you find the transfer function from a differential equation?
  3. What is the difference between homogeneous and nonhomogeneous differential equation?

What is nonhomogeneous differential equation?

Nonhomogeneous differential equations are the differential equations that contain functions on the right-hand side of the equations. We know that homogeneous differential equations are those equations having zero at R.H.S of the equation.

How do you find the transfer function from a differential equation?

To find the transfer function, first take the Laplace Transform of the differential equation (with zero initial conditions). Recall that differentiation in the time domain is equivalent to multiplication by "s" in the Laplace domain. The transfer function is then the ratio of output to input and is often called H(s).

What is the difference between homogeneous and nonhomogeneous differential equation?

(Remember that for a nonhomogeneous system, it is possible that no particular solution exists, and the solution set is empty.) A homogeneous system always has as a particular solution, and the second theorem applies to homogeneous systems by taking p → = 0 → .

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