Note - Labs start in the second week of classes, i.e. the week of Sept. 9.
Lab format Each lab consists of two parts:
Part I Examples. The TA will do examples on the board.
Part II Quiz. The TA will write the questions on the board. You must s
MTH 309 Final Exam
1. (10 pts.) A 2 kg mass is attached to the lower end of a vertical weightless spring hanging
from a rigid ceiling. The spring constant is 26 N/m. After reaching its equilibrium position, the mass is
displaced 1 m below equilibrium and
Department of Mathematics
MTH309 Differential Equations - Fall 2013
INSTRUCTOR: J. P. Pascal
OFFICE: ENG 227
TELEPHONE: 979-5000, x. 4872
e-mail: [email protected]
OFFICE HOURS: TBA
COURSE WEBSITE: the MTH309 Blackboard webpage. Studen
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t \ e \ $ .
c i t F \ ' =
q !9 . s\ \ -= - =
: S S S s , .
: s r e \
December 25, 2008
3. Separable dierential Equations
A dierential equation of the form
= f (x, y)
is called separable if the function f (x, y)
decomposes as a product f (x, y) = 1(x)2(y)
of two functions 1 and 2.
Proceding formally we can rewrite
September 8, 2010
4. Some Applications of rst order linear differential Equations
The modeling problem
There are several steps required for modeling scientic
1. Data collection (experimentation)
Given a certain physical system, one has to ru
September 13, 2010
5. Exact Equations, Integrating Factors, and
A region D in the plane is a connected open set. That
is, a subset which cannot be decomposed into two nonempty disjoint open subsets.
The region D i
February 2, 2009
7. Some Special Second Order Equations
There are certain second order dierential equations, even
non-linear, which reduce to rst order equations. We will
describe some of these now.
y = f (x, y ).
Here the variable y is missin
February 8, 2009
10. Particular Solutions of Non-homogeneous
second order equationsVariation of Parameters
As above, we consider the second order dierential equation
L(y) = y + p(t)y + q(t)y = g(t)
where p, q, g are continuous functions in an int
Mth309 (Fall 13) Recommended exercises
1st order equations (Section II of the exercise package)
4, 6 (can be solved as separable equations).
2, 12, 16 (can be solved as homogeneous equations).
1, 7 (can b
stipulated price contract
2 0 0 8
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accurate and unamended form of CCDC 2 - 2008
MTIl 300 Final 1Sxiirn
A mass ol' 1 1cg is iltrlril,(:l~(:d 1,ho Iow~rt:nd of' a vorl,ic:n,l "~cight~lcss"
1. 0 I )
hn.nging frorn a rigid coiling. The: spring const,ant is 2 N/m. Af1,c:r rcachirrg its cqr~ilibriumposil,ior~,
t,hc: rn:lss is ti
MTH 309 Final Exam F11.
1. (10 pts.) A 1 kg mass is attached to the lower end of a vertical weightless spring hanging from a
rigid ceiling. The spring constant is 40 N/m. After reaching its equilibrium position, the mass is diSplaced
1 m below equilibrium
Department of Mathematics
MTH 309 Fall 2006 Midterm Test
Instructors: Katrin Rohlf and J.P. Pascal
Date: October 17, 2006
Duration: 60 minutes
The use of notes, books or calculators is not allowed. This exam contains
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