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Math 55 Final Exam Spring 2012
All problems are worth 20 points each. Please show all of your work.
Solve the following differential equations and IVPs:
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Math 55 Final Exam Spring 2012
All problems are worth 20 points each. Please show all of your work.
Solve the following differential equations and IVPs:
#1.)
5 y y 6t
#2.)
x
y 9 y
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y 0 0
,
y 0 10
dy
4 y x6e x
dx
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y 4 2 y y 0
e
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Math 55 - Test #2 (Chapters 3,4, 6) Fall 2014
Please show all of your work for full credit. Each problem is worth 20 points. 100 points in
total.
Solve the following second order differential equations by using either undetermined
coefficients or variat
Math 55-Test #1 (Chapters 1-2) Fall 2014 My
Please show all of your work for full credit. Each problem is worth 14 points, plus 2 "free"
points. 100 points in total.
Solve the equations below:
#1)d_y_3x_2y—yi “lg/‘77 rpé’ +71%»! +):’J, :;
dx 2x+3xy* ‘ ‘
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Math 55 Final Exam Spring 2014
All problems are worth 20 points each. Please show all of your work. Page 1 of 2
Solve the following differential equations and IVPs:
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#1.) 4y +4y +17y=0, y(0)=-1. y(0)=2 A106): 6’ (« (053*: +13; Si~2t
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Math 55 - Test #1 (Chapters 1-2) Spring 2014
Please show all of your work for full credit. Each problem is worth 14 points, plus 2 "free"
points. 100 points in total.
Solve the equations below:
#1.)51x——i=t2+2 LL-t)27-i—‘l’x(t-l)+f({‘—l)+3lfrl)b\[-t
Math 55 Test #4 (Chapter 9) Spring 2014
Please show all of your work. There is a total of 100 points on this test. Problems 1 and 2 are worth 10
points each, the other problems are worth 20 points each.
#1.) Transform the given equations into a system of
Math 55 Test #4 (Chapter 7) Spring 2013 KE Y
Please show all of your work. There is a total of 100 points on this test. Problems 1 and 2 are worth 10
points each, the other problems are worth 20 points each.
#1.) Transform the given equations into a syste
Math 55 Test #3 (Chapters 7-8) Spring 2014 - Part 1
Please show all of your work in order to receive full credit. Although this test is closed book and
closed notes you will need to use a Table of Laplace Transforms for problems 2 and 3. There are 100
poi
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Math 55 Test #3 (Chapters 5-6) Spring 2013
Please show all of your work in order to receive full credit. Although this test is closed book and
closed notes you will need to use a Table of Laplace Transforms for problems 2 and 3. There are 10
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Math 55 - Test #2 (Chapters 3,4, 6) Spring 2014
Please show all of your work for full credit. Each problem is worth 20 points. 100 points in
total.
Solve the following second order differential equations by using either undetermined
coefficients or va
Math 55 - Test #2 (Chapters 3-4) - Spring 2012 f; i
Please show all of your work. This test has 100 points.
Solve the following second order differential equations by using either undetermined coefficients or
variation of parameters, as appropriate:
#1.)
= ~41): Find the behavior of the solutions as t ) co .
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CHAPTER
7
Systems of First Order Linear
Equations
7.1
1. Introduce the variables x1 = u and x2 = u 0 . It follows that x10 = x2 and
x20 = u 00 = 2u 0.5 u 0 .
In terms of the new variables, we obtain the system of two first order ODEs
x10 = x2
x20 = 2x1 0.