Math 266 B
Fall 2006
Exam 1
Justify your answers by showing all work
(1) Find the solution of each of the following initial value problems:
x2 y
dy
=
i)
, y(0) = 1
dx
1 + x3
4y
dy
=
+ x3 , y(2) = 0
ii)
dx
x
dy
3x2 y 2 + 2x
iii)
= 3
,
y(1) = 1
dx
2x y + 3y
Math 266 B
Fall 2006
Exam 2
Justify your answers by showing all work
Give exact values whenever possible
(1) Find a general solution for each of the differential equations:
i) y 00 + 4y 0 + 3y = 0,
ii) y 00 + 4y 0 + 4y = 0,
iii) y 00 + 4y 0 + 5y = 0.
(2)
Leader:
Course:
Instructor:
Practice Exam 2
Supplemental I nstruction
lowa State University
l)
Matt
Math2661267
Various
Date: l0l4l12
Solve the following initial value problem:
Y"+2Y'*Y=2cos?
fr +z'+ l=o
41.1
y(o)
:
3; y'(o)
(r/*t)t=.2
-e
1. = L, - -+<- O
Leader:
Course:
Instructor:
Practice Exam 1 (Ch 1-2)
Supplemental Instruction
lowa State Universitv
Math2661267
Various
Date:
Sept. 9th and 10th
,2072
L
a)
Complete the following table using the Euler method to estimate the solution to:
y' : xy with y(1)
Collin McElvain
Section FF
2/11/16
Lab PM - Projectile Motion
The objective of this lab is to determine the relationship between the range of a
projectile shot at the same level it stops and the angle of the shot. We predict that the range
will increase u
Collin McElvain
Section FF
2/25/16
Lab FV Forces and vectors
The objective of this lab is to test the forces and the relationships between each
opposing force. We predict that all the forces in the x and y directions to cancel each other out
because there
Collin McElvain
Section FF
03/10/16
FMO2 Forces and Motion 3.1
The objective for this lab is to verify Newtons Second Law. To show that the acceleration of an
object is related to its acceleration times its mass. We will do this by creating a pulley syste
Collin McElvain
Section FF
03/31/16
RM Rotational Motion
The objective for this lab is to verify the relationship between the moment of inertia and the
radius from the center of rotation on the masses. We will test this by moving masses on our rotating ba