Understanding the Heaviside Function: Solving the Equation for a Graph

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The discussion revolves around finding the equation for a specific graph involving the Heaviside function. The proposed equation is u(t) - 2u(t-2), which describes the function's behavior: it is 0 for t<0, 1 for 0≤t<2, and -1 for t≥2. Participants clarify that g(t) aligns with this description, confirming that it is 1 for 0<t<2, -1 for t>2, and 0 for t<0. The conversation highlights the understanding of the Heaviside function and its application in piecewise functions. Overall, the participants successfully validate their comprehension of the equation's structure and behavior.
morry
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hey guys, I am having a bit of trouble finding the equation for the following graph.

I know it should look something like: u(t)-2u(t-2), but I don't really understand it.

Can someone point me in the right direction?
 

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We can't view the graph yet as it is listed as an "Attachment Pending Approval". Describe it, e.g.

u(t)-2u(t-2), is 0 for t<0, 1 for 0<=t<2, and -1 for t>=2.

Note that I have assumed that u(t) is 0 for t<0 and 1 for t>=0.
 
Oh ok. Sorry about that.

Well: g(t)= 1 for 0<t<2
and g(t)= -1 for t>2

And g(t)=0 for t<0

edit: I just read what you wrote. It sounds like what I've got. Looks like I did kinda understand what I was doing afterall. Cheers.
 
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