In each of Problems 9 through 24, using the linearity of L − 1 , partial fraction expansions, and Table 5.3.1 to find the inverse Laplace transform of the given function: s 2 + 3 ( s 2 + 2 s + 2 ) 2 TABLE 5. 3. 1 Elementary Laplace transforms. f ( t ) = L − 1 { F ( s ) } F ( s ) = L { f ( t ) } e a t sin b t b ( s − a ) 2 + b 2 , s > a e a t cos b t s − a ( s − a ) 2 + b 2 , s > a
In each of Problems 9 through 24, using the linearity of L − 1 , partial fraction expansions, and Table 5.3.1 to find the inverse Laplace transform of the given function: s 2 + 3 ( s 2 + 2 s + 2 ) 2 TABLE 5. 3. 1 Elementary Laplace transforms. f ( t ) = L − 1 { F ( s ) } F ( s ) = L { f ( t ) } e a t sin b t b ( s − a ) 2 + b 2 , s > a e a t cos b t s − a ( s − a ) 2 + b 2 , s > a
In each of Problems 9 through 24, using the linearity of
L
−
1
, partial fraction expansions, and Table 5.3.1 to find the inverse Laplace transform of the given function:
s
2
+
3
(
s
2
+
2
s
+
2
)
2
TABLE 5. 3. 1
Elementary Laplace transforms.
f
(
t
)
=
L
−
1
{
F
(
s
)
}
F
(
s
)
=
L
{
f
(
t
)
}
e
a
t
sin
b
t
b
(
s
−
a
)
2
+
b
2
,
s
>
a
e
a
t
cos
b
t
s
−
a
(
s
−
a
)
2
+
b
2
,
s
>
a
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill Education
Mathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSON
Discrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education