The Question Express the function 0 = -{- 0 f(t) t < 0 9 4t² 0 2 in terms of unit step functions and hence determine F(s), the Laplace transform of f(t), in the form F(s) = A S -ws e B C + + 83 83 Enter the values of A, B, C, D, E and w in the boxes below. De + 82 E + ولا S

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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The Question
Express the function
0
t < 0
-{:-
= 9 4t² 0<t<2
0
t> 2
f(t)
in terms of unit step functions and hence determine F(s),
the Laplace transform of f(t), in the form
F(s) =
A B с
+ +
S s3
De
83
Enter the values of A, B, C, D, E and w in the boxes below.
82
-ws
+
e
E
+ e
S
ولا
—
WS
Transcribed Image Text:The Question Express the function 0 t < 0 -{:- = 9 4t² 0<t<2 0 t> 2 f(t) in terms of unit step functions and hence determine F(s), the Laplace transform of f(t), in the form F(s) = A B с + + S s3 De 83 Enter the values of A, B, C, D, E and w in the boxes below. 82 -ws + e E + e S ولا — WS
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