Differential Equations applications in Signal Processing [closed]

1. What are some real world applications of differential equations?
2. Why difference equation plays an important role in DSP?
3. What is differential equation in DSP?
4. What are the application of PDE in real life?

What are some real world applications of differential equations?

Ordinary differential equations applications in real life are used to calculate the movement or flow of electricity, motion of an object to and fro like a pendulum, to explain thermodynamics concepts. Also, in medical terms, they are used to check the growth of diseases in graphical representation.

Why difference equation plays an important role in DSP?

One of the most important concepts of DSP is to be able to properly represent the input/output relationship to a given LTI system. A linear constant-coefficient difference equation (LCCDE) serves as a way to express just this relationship in a discrete-time system.

What is differential equation in DSP?

The difference equation is a formula for computing an output sample at time based on past and present input samples and past output samples in the time domain.

What are the application of PDE in real life?

Applications of Differential Equations in Real Life

In the prediction of the movement of electricity. In the description of various exponential growths and decays. In the calculation of optimum investment strategies to assist the economists. In describing the equation of motion of waves or a pendulum.