Question

Solutions to linear differential equations can be written using convolutions. What is the impulse response in the context of differential equations?

A. Ignore the initial values and forcing function
B. The forcing function
C. The solution to the associated homogeneous differential equation
D. The initial values

Answer 1

The impulse response in differential equations is the sum of all the infinitesimal impulses given to an object when a force is applied over an infinitesimal time interval.

Step-by-step explanation:

The impulse response in the context of differential equations refers to the total impulse given to an object when a force is applied over an infinitesimal time interval. It is defined as the sum (integral) of all the infinitesimal impulses.