Question

Forced response is the solution of the difference equation when:

• A. Input is zero
• B. Input is given and initial conditions are zero
• C. Natural Response
• D. Input is given and initial conditions are non-zero

Hint:

The forced response is found by considering only the effect of the input, while the natural response depends on the initial conditions.

Answer 1

The Correct Option is B

The forced response in a differential or difference equation refers to the particular solution when the input (forcing function) is given, and the initial conditions are zero. The natural response, on the other hand, is associated with the solution due to initial conditions when there is no input. Thus, the forced response is the solution when the input is given and the initial conditions are zero.