MTH 347, Preparation for Laplace
The problems marked as from the 3rd handout are not required but recommended (bonus credit
on the test)
1. Write down the denition of the Laplace transform of f (t).
2. Use formula Lcfw_eat f (t) = F (s a) to obtain formul
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MTH347: Earthquake-Induced Vibrations of Multistory Buildings
Leah Perkins, Nick Contini, Lisa DLima
December 4, 2013
a)
Given:
mi = 12 tons = 750 slugs
lbs
tons
= 8, 000
Ki = 4
ft
ft
n=5
(1)
f or1 i 5
(4)
(2)
(3)
Displacement vector:
x = [x1 x2 x3 x4 x5
Leah Perkins
Assignment BonusHW due 12/14/2013 at 02:22pm EST
MTH347SectionB-Fall2013
8s2 + 4s + 45
.
s3 + 9s
(1) Find the partial fraction decomposition of F (s):
(1 pt) Find the inverse Laplace transform f (t ) =
s
1 cfw_F (s) of the function F (s) = e
MTH 347 Fall2013. Practice problems for Test 2.
Go over the hw assignments for Sections 3.1-3.6. Webwork HW3 also contains some practice problems. In addition, do the following problems.
Determine the interval on which the solution of the IVP is guarante
MTH 347, Review for Test 3
1 a) Transform the given initial value problem for a system to an initial
value problem for a single equation
x
= 3x + y,
x(0) = 1
y
= x 3y,
y (0) = 2
1 b) Solve the given initial value problem for a system by method of eliminat
Leah Perkins
Assignment BonusHW due 12/14/2013 at 02:22pm EST
MTH347SectionB-Fall2013
8s2 + 4s + 45
.
s3 + 9s
(1) Find the partial fraction decomposition of F (s):
(1 pt) Find the inverse Laplace transform f (t ) =
s
1 cfw_F (s) of the function F (s) = e