FINAL EXAM
Fall 267
Circle the correct answer. If you circle more than one answer the
credit for a problem is zero.
Problem 1.(10 POINTS.)Solution y (x) to the initial value problem
(x + 2xy )
dy
= (x
Elementary Differential Equations and Laplace Transforms.
MATH 267

Spring 2014
Math 267 DifferentialEquations
Exam 2 Review
The following is a list of example problems from each section that will be covered in the second exam. In
order to fully use this review sheet, you should
Elementary Differential Equations and Laplace Transforms.
MATH 267

Spring 2014
MATH 267 Test No. 2 Fall 2017 (Prof. DAlessandro), Sections 13,
2224
Problem 1(35 Points)
Solve the boundary value problem:
$5=Afa f<o>= (i)
Where A is the matrix
Problem 2(40 points)
Find a fundame
Elementary Differential Equations and Laplace Transforms.
MATH 267

Spring 2014
MATH 267 (Sections 13, 2224) Test No. 1 Fall 2017
Problem 1 (25 points)
a) (10 points) Transform the following equation into an exact equation using
an integrating factor.
l l
2 d d =0.
(Le/+2092)
Elementary Differential Equations and Laplace Transforms.
MATH 267

Spring 2014
EXAM I  V#1
Math 267, Section 712, S016
Iowa State University
Instructions:
Name:.
Section:.
Signature:.
Time: 10:0 am  10:50 am. Pace yourself accordingly
Turn your cell phones/ipods/computers/
Elementary Differential Equations and Laplace Transforms.
MATH 267

Spring 2014
SAMPLE EXAM I Math 267, ISU, S017
Name:.Section.
Do problems 1 through 6. Show all the work for full credit. Use calculator
whenever necessary. Total points 100
1. Find the diefferential equation for
Elementary Differential Equations and Laplace Transforms.
MATH 267

Spring 2014
EXAM II
Math 266, ISU, S015
Instructions
Name:.
Duration: 50 minutes
Turn your cell phones/ipods off !
Keep only pencils, erasers and ISU ID on the desk.
Do not turn the exam over until you are t
Elementary Differential Equations and Laplace Transforms.
MATH 267

Spring 2014
EXAM 2
Math 267, Section 712, ISU, S016
Iowa State University
Instructions:
Name:.
Section:.
Signature:.
Time: 10:00 am  10:50 am. Pace yourself accordingly
Turn your cell phones/ipods/computers/
Elementary Differential Equations and Laplace Transforms.
MATH 267

Spring 2014
Practice Final (266)
Supplemental Instruction
Iowa State University
Leader:
Course:
Instructor:
Date:
Matt E
Math 266/7
Various
42812
Supplemental Instruction
1060 HixsonLied Student Success Center
Elementary Differential Equations and Laplace Transforms.
MATH 267

Spring 2014
MATH 267 Test No. 2 SPRING 2016, Sections 1419, 2628
Problem 1(35 Points)
Find the general solution of the system
d
~x = A~x,
dt
where A is the matrix
A=
0
0
2 4
1 3
Is the point
a stable or an un
Elementary Differential Equations and Laplace Transforms.
MATH 267

Spring 2014
MATH 267 (Sections 1419 and 2628) Test No. 1 SPRING 2016
Problem 1 (25 points)
Find the general solution in explicit form of the following differential equation
dy
= 2(y 2 1)x
dx
and the solution co
Elementary Differential Equations and Laplace Transforms.
MATH 267

Spring 2014
lK/llsrlt: 26? Practice rfest Not, 3 SPRENG 2&6 Eectloas lllw'lg 26m28
Problem. M20 P013)
Calculate the Laplace Transform of the function f : f(t) which is equal to t2
when 0 g t < l and equal to 17 w
Elementary Differential Equations and Laplace Transforms.
MATH 267

Spring 2014
MATH 267 Test No. 3 SPRING 2016, Sections 1419, 2628
Problem 1(20 Points)
Calculate the Laplace Transform of the function f = f (t) which is equal to
e3t when t is 1 t < 2 and equal to 0 for any oth
Elementary Differential Equations and Laplace Transforms.
MATH 267

Fall 2015
Math 267
Differential equations Name _
Hentzel
TEST TWO
Wednesday, October 8, 2014
1. A homogeneous linear differential equation with
constant coefficients has this auxiliary equation.
(m+1/2)(m1
Elementary Differential Equations and Laplace Transforms.
MATH 267

Spring 2014
MATH 267 (Sections 13 and 2224) Practice Test No. 1 Fall 2017
Problem 1 (25 points)
Find the general solution of the following differential equation
cly 1 _1_
E + Egg = ean tan(a:)
and the solution
Elementary Differential Equations and Laplace Transforms.
MATH 267

Spring 2014
MATH 267 PRACTICE Test No. 3 (Sections 13; 2224) Fall 2017
(Prof. DAlessandro)
Problem 1(20 Points)
Calculate the Laplace transform of the function f = f (t) which is equal to t
when 0 g t < 3 and