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)