tc u. (1) = 1 Apply the definition of step function in the function ƒ(t). √√√⁰ t<1] [Jo +2 121 f(t)= Use definition of step function t<3 123]-[{
tc u. (1) = 1 Apply the definition of step function in the function ƒ(t). √√√⁰ t<1] [Jo +2 121 f(t)= Use definition of step function t<3 123]-[{
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Problem: Sketch the graph of the given function on the interval t ≥ 0.
g(t) = u1(t) + 2u3(t) − 6u4(t)
Can someone please explain the step function step? How do you decide what to subtract what to what?
Transcribed Image Text:In each of Problems 1 through 4, sketch the graph of the given function
on the interval t ≥ 0.
1. g(t) = u₁(t) + 2u3(t) — 6u4(t)
![Consider the following function:
f(t)=u₁(1)+2u₂(1)-6u₂(1)
From the definition of a step function, the following can be stated:
u.()= {i
Apply the definition of step function in the function f(t).
t<3
10-03-²83-844]
+2
t<c
t>c
f(t)=
Use definition of step function
0+0-0
1+0-0
1+2-0
1+2-6
0
3
-3
<1
,0<t<1
1≤1<3
,3<t<4
,4≤1 <00
0<t<1
1<t<3
3≤t < 4
4≤1 <00
t<4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1389f7f-60f2-476a-92c5-edfb12b791f4%2F2897fa3b-20a1-4424-a31b-804c89780d44%2F7acgigl_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following function:
f(t)=u₁(1)+2u₂(1)-6u₂(1)
From the definition of a step function, the following can be stated:
u.()= {i
Apply the definition of step function in the function f(t).
t<3
10-03-²83-844]
+2
t<c
t>c
f(t)=
Use definition of step function
0+0-0
1+0-0
1+2-0
1+2-6
0
3
-3
<1
,0<t<1
1≤1<3
,3<t<4
,4≤1 <00
0<t<1
1<t<3
3≤t < 4
4≤1 <00
t<4
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