DE Quiz 3
Due next class (Feb 3, 2011).
1. A tank initially contains 40 gallons of brine containing 0.10 pounds of salt per gallon.
At t=0 a solution containing 0.25 pounds of salt per gallon begins entering the tank at a
rate of 2 gallons per minute, and
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MAP 2302
Exam
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Show all your work on the blank paper provided at the end of this test. You may write on the
test but ALL ANSWERS AND WORK SHOUTD BE ON THE BTANK PAPER NOT ON THE TEST.
You are graded on the wor
Quiz 4
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In solving the differential equation 4y" + 5y' + 6y = 0 we replace the y" with m2, the y' with m
and the y with 1, resulting in the auxiliary equation 4m2 + 5m+ 6 = 0. Explain the justiflcation
behind this procpss, or in other words how is it p
MAP 2302
DE
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Solve the following problems on your blank paper, neatly and in order with the parts
labeled appropriately. Put all work and answers on your blank paper, not on this test
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Quiz2
of 100 gallons of a salt mixture with concentration 0.25 pounds per
gallon. A brine solution in the concentration 3 pounds per gallon is being pumped in at the
rate of 2 gallons per minute. It is well mixed and then drained out at the rate of 2 gall
MAP 2302
DE
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Quiz6
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1. Solve the differential equation: y" -2y'-3y = 4+
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MAP 2302
DE
Exam 2 Form B
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Name
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DeVoe October 2016
Solve the following problems on your blank
paper, neatry and in order with the
par-ts
labeled appropriately. Put all woik and
answer;
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on this test
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MAP 2302
Exam 1.Form A
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DE
Show all your work on the blank paper provided at the end of this test. You may write on the
test but ALL ANSWERS AND WORK SHOUTD BE ON THE BTANK PAPER NOT oN THE TEST.
You are graded on the work that is shown so make sur
MAP 2302
DE
1.
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Quiz I
Circle the.term or terms in the following DE that makes it a non-linear DE. Then
explain what it is about that term (or terms) that makes the DE non-linear.
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d*pffiJ'+ u# r,
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MAP 2302
DE
1.
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Quiz 3
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Given the differential equatio
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A) Draw a phase line diagram.
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B) Label the equilibrium solutions as either a sink(stable)
MAP 2302
DE
Quiz 9
Name
DeVoe
You should be using OUR Laplace table - not the one in Appendix A. Make sure you
show all your work and reference the number of the property you are using from the
Laplace table given online.
1.
Find the Laplace of the functi
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Quiz 5
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particular spring has a spring constant of 18 N/m. Suppose a2kgmass is hung on the
spring and is initially sent in motion with an upward velocity of L/2 meters per second, 2
meter below the equilibrium position.
L. A
A) Write down
MAP 2302
Nu-",
Quiz8
DE
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You should be using OUR Laplace table - not the one in Appendix A. Make sure you show all your
work and reference.the number of the property you are using from the Laplace table given onlini.
L Find f.cfw_e2'cos(3r) using t
Differential Equations
Spring Term 2011
Course:
Text:
MAP 2302 Differential Equations (3 credit hours)
A First Course in Differential Equations (9th edition) by Zill
Instructor:
James Lang
Office: 4-235
Phone: 407-582-2490
Email: [email protected]
DE Review Exam 2 (Sections 4.1-4.4 plus 5.1)
I.
Solving linear differential equations
A)
Homogeneous equations with constant coefficients
Use y = emx and get the auxiliary eqn.
B)
Nonhomogenous equations
y = yc + yp
To get yp use the method of undetermine
DE Review Exam 3
I.
Definition and properties of Laplace transforms
A)
B)
Use the integral definition of the Laplace transform.
Apply properties in the "short" table to find transforms.
II.
Given a "new" Laplace transform formula, apply the formula to fin
MAP 2302
Review Exam 1
Differential Equations
Analytic Methods:
1. Solve separable differential equations with or without initial conditions.
2. Solve linear differential equations with or without initial conditions.
3. Solve applications involving separa
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Exam 3 Form A
MAP 2302
DE
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Fall 2016
Solve the following problems on your blank paper, not on this test paper. You must show
ALL your work to receive credit for a problem. Please simplify all your answers. Do
your work in pencil an