Find the laplace transform of f (t) = 2t* – 3et + 10 sin 3t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the laplace transform of
f (t) = 2t4 –
3e2t + 10 sin 3t
-3s7+30s-87s +48s-96s² +432s-864
O F(s) =
%3D
$8 2s7+9s6-18s5
-3s7+30s6-87s –48s° –196s²+432s-864
O F(s)
$8-2s7+9s6-18s5
O F (s) =
-3s7+30s-82s+48s*+96s2+432s-864
88 2s7+9s-18s5
O F(s) =
-3s7+30s-85s+48s+96s+433s-864
88-2s7+9s-18s5
%3D
O F() =
-3s7+30s-87 s +48a +96s+432s-864
%3D
4-27+9s+18s"
O F(6)
3a+30-82+48a-96a+432s-864
2a O 18a
O F()
330-87+48a 05s+432-864
O F()-
3087 42 190ia 432-864
-249-18
Transcribed Image Text:Find the laplace transform of f (t) = 2t4 – 3e2t + 10 sin 3t -3s7+30s-87s +48s-96s² +432s-864 O F(s) = %3D $8 2s7+9s6-18s5 -3s7+30s6-87s –48s° –196s²+432s-864 O F(s) $8-2s7+9s6-18s5 O F (s) = -3s7+30s-82s+48s*+96s2+432s-864 88 2s7+9s-18s5 O F(s) = -3s7+30s-85s+48s+96s+433s-864 88-2s7+9s-18s5 %3D O F() = -3s7+30s-87 s +48a +96s+432s-864 %3D 4-27+9s+18s" O F(6) 3a+30-82+48a-96a+432s-864 2a O 18a O F() 330-87+48a 05s+432-864 O F()- 3087 42 190ia 432-864 -249-18
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