Rewriting a piecewise function using step functions

  • I
  • Thread starter selig5560
  • Start date
  • #1
39
0
Summary:
Function properties
Suppose we have a piecewise function

f(t) = exp(c*t) when 0 <= t < 2 and f(t) = 0 when t >= 2.

Can the above be rewritten as

f(t)= exp(at)*[H(t-0) - H(t-2)],

H is a heaviside function.
 

Answers and Replies

  • #2
member 587159
What is ##a##?
 
  • #3
mathman
Science Advisor
7,942
496
You didn't specify f(t) for t < 0.
 

Related Threads on Rewriting a piecewise function using step functions

  • Last Post
Replies
1
Views
5K
  • Last Post
Replies
5
Views
7K
  • Last Post
Replies
5
Views
2K
Replies
2
Views
2K
Replies
4
Views
2K
  • Last Post
Replies
11
Views
6K
  • Last Post
Replies
5
Views
1K
  • Last Post
Replies
9
Views
8K
  • Last Post
Replies
6
Views
26K
Replies
4
Views
2K
Top