PHY100 Midterm 2A*
Assessment Regulations:
Calculators are allowed
Borrowing calculators is strictly prohibited
It is absolutely prohibited to exchange or borrow any
object without permission.
If you wish to leave the exam area, you will have to
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c Dr Oksana Shatalov, Spring 2013
1
18: Definition of the Laplace Transform(section 6.1)
1. Remind the Improper Integral (type I):
Z
Z
(t)dt = lim
0
A
A
(t)dt
0
2. DEFINITION of LAPLACE TRANSFORM Let f (t) be a function defined for t 0. Then the
integral
Inverse Laplace Transform
Dr. Antonios Kalampakas
Ordinary Differential Equations - MA 266
1 / 21
Inverse Laplace Transform
If F (s) represents the Laplace transform of a function f (t), that is,
Lcfw_f (t) = F (s),
we then say f (t) is the inverse Laplac
Laplace Transform
Dr. Antonios Kalampakas
Ordinary Differential Equations - MA 266
1 / 14
Laplace Transform
Let f be a function defined for t 0. Then the integral
Z
Lcfw_f (t) =
e st f (t)dt = F (s)
0
is said to be the Laplace transform of f , provided t
Variation of Parameters
Dr. Antonios Kalampakas
Ordinary Differential Equations - MA 266
1/8
Variation of Parameters
We introduce a method for solving non-homogeneous linear second
order DE with constant coefficients
a2 y 00 + a1 y 0 + a0 y = g (x)
where
Homogeneous Linear DE with Constant Coefficients
Dr. Antonios Kalampakas
Differential Equations
1 / 14
Homogeneous Linear DE with Constant Coeficients
We introduce a method for solving homogeneous second order linear
DE with constant coefficients
ay 00 +
Win My MI MLQ-
American University Of The Middle East
In Affiliation With
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FINAL EXAMINATION
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*Piease Ven'
To be completed by student
Exam Regulations:
- You are not allowed in the exam room after 45 minutes of the start
Midterm Exam 1 November 10-1 1, 2013
AUM, PHY100 - Mechanics and Statics Name:
Profs Baroudi, Jabakhanji, and Persram Section Number:
Total Marks: 20 Student Number: gli oa 3
Answer any one (1) of questions 1 and 2. You must also answer questions 3 and 4.
Physics 100, Spring 2014
Mechanics and statics
Department of Engineering
American University of the Middle East (AUM)
Chapter1
Interactions, Vectors, Kinematics and Momentum
Detecting Interactions
Physics seeks to find patterns in nature to ultimately for
Physics 100, Spring 2014
Mechanics and statics
Department of Engineering
American University of the Middle East (AUM)
Chapter1
Interactions, Vectors, Kinematics and Momentum
Detecting Interactions
Physics seeks to find patterns in nature to ultimately for