2. a) f(t)=2sin(t), -2, 0≤t<π/2 π/2 < t < 3π/2 t≥ 3π/2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I only need help with part a

Make a sketch of the given function on [0, ∞) and express it in terms of the
unit step function:
a) f(t) =
=
b) f(t) =
=
2sin(t),
-2,
0.
4-t,
1,
1
0<t<π/2
π/2 < t <3π/2
t> 3π/2
0 < t <2
2 < t < 4
t> 4
Transcribed Image Text:Make a sketch of the given function on [0, ∞) and express it in terms of the unit step function: a) f(t) = = b) f(t) = = 2sin(t), -2, 0. 4-t, 1, 1 0<t<π/2 π/2 < t <3π/2 t> 3π/2 0 < t <2 2 < t < 4 t> 4
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