Question about zero input frequency response

[royzizzle]

Zero input means input equals zero

the input is to some differential equation D2x = Dx + x + Input

the input = sin(2pi * f * t)

so say I want to make a program that solves for the zero input frequency response. (Matlab actually)

what would I need to set the variable for frequency to be? would it be 1/(4t) ? to make the input always sin(pi/2) = 0? or do I make the frequency equal to zero.

I've been asking my workmates and getting mixed answers :[

I'm doing this for my research professor btw

 

[zhermes]

what would I need to set the variable for frequency to be? would it be 1/(4t) ? to make the input always sin(pi/2) = 0? or do I make the frequency equal to zero.

I've been asking my workmates and getting mixed answers :[

Why wouldn't you just set the frequency to zero?
and btw. What is sin(pi/2)?! (hint: not zero).

 

[royzizzle]

why wouldn't you just set the frequency to zero?
And btw. What is sin(pi/2)?! (hint: Not zero).

yes you are right!

Ive cemented my status as a retard

:[

I knew I should have studied my unit circle harder

GOD IM SO STUPID IVE BEEN WRITING A PROGRAM THAT sets the value for f depending on the time vector specified

so much time wasted

 

[zhermes]

lol, don't worry about it man; we learn best from our failures.
Acknowledging being stupid (at times) is a very important form of wisdom (Socratic wisdom).

 

[blue_raver22]

The zero input frequency response refers to the output of a system when there is no input signal present. In other words, the input to the system is zero. In this case, the differential equation D2x = Dx + x + Input can be simplified to D2x = Dx + x. If we consider the input to be sin(2pi * f * t), then in order to have a zero input frequency response, the frequency f must be set to zero. This means that the input signal is not changing over time and is essentially a constant value of zero.

In Matlab, you can set the frequency f to be equal to zero in order to simulate the zero input frequency response. This will allow you to solve the differential equation and obtain the output of the system when there is no input present.

It's important to note that the zero input frequency response is just one aspect of a system's overall response. In order to fully understand the behavior of a system, it's important to consider both the zero input and non-zero input cases. I hope this helps in your research project.