1. Solve the dierential equation
(1 + t2 )y + y = 1.
Answer: y = 1 + Ce arctan x
2. Suppose that you are solving the equation y = xy approximately, using Eulers method. If you
start at the point (x0 , y0 ), and take a step size of h, write down formulas f
University of Washington
Math 307O, Autumn 2015
October 30, 2015
Homework 1
due October 9, 2015, 4:00pm
Hand in starred (*) problems.
Regular Problems
Problem 1 [Boyce & DiPrima, 2.2.9-20]. Learn how to solve separable dierential equations. Here are
some
University of Washington
Math 307O, Autumn 2015
October 30, 2015
Homework 3
due October 23, 2015, 4:00pm
Hand in starred (*) problems.
Regular Problems
Problem 1 [Boyce & DiPrima, 2.5.1-13]. Learn how to determine equilibrium solutions, how to classify
th
Math 307A, Winter 2014
Practice Final
Your Name
University of Washington
Student ID #
Cellphones off please!
You are allowed one two-sided handwritten notesheet for this midterm. You may use a scientic
calculator; graphing calculators and all other cour
Math 307A, Winter 2014
Practice Midterm 1
Your Name
University of Washington
Student ID #
You are allowed one two-sided handwritten notesheet for this midterm. You may use a scientic
calculator; graphing calculators and all other course-related materials
Math 307A, Winter 2014
Midterm 2
Your Name
University of Washington
Student ID #
Cellphones off please!
You are allowed one two-sided handwritten notesheet for this midterm. You may use a scientic
calculator; graphing calculators and all other course-re
Math 307 E/H, Autumn 2014
Practice Final
Your Name
University of Washington
Student ID #
DONT PANIC! There are more questions in this exam than in the midterms, but you have more
than twice the time to solve them. If you get stuck, take a deep breath and
Math 307 E/H, Autumn 2014
Midterm 2
Your Name
University of Washington
Student ID #
Cellphones off please!
Please box all of your answers.
You are allowed one two-sided handwritten notesheet for this midterm. You may use a scientic
calculator; graphing
Math 307 E/H, Autumn 2014
Midterm 1
Your Name
University of Washington
Student ID #
Cellphones off please!
Please box all of your answers.
You are allowed one two-sided handwritten notesheet for this midterm. You may use a scientic
calculator; graphing
Math 307A, Winter 2014
Final Exam
Your Name
University of Washington
Student ID #
Cellphones off please!
Please box all of your answers.
You are allowed one two-sided handwritten notesheet for this midterm. You may use a scientic
calculator; graphing c
1. Solve the dierential equation
(1 + t2 )y + y = 1.
2. Suppose that you are solving the equation y = xy approximately, using Eulers method. If you
start at the point (x0 , y0 ), and take a step size of h, write down formulas for your new location,
(x1 ,
Math 307H, Spring 2012
Practice Midterm: Solutions
Page 1 of 3
1. (6 total points) Initially, a tank contains 50 liters of water. Assume that a liquid containing 1 gram of
dye per liter ows into the tank at a rate of 10 liters per hour, and that liquid le
Math 307H, Spring 2012
Practice Midterm
Your Name
University of Washington
Student ID #
This exam is closed books. No aids are allowed for this exam. You can use any information on the
note sheet on the last page without justication.
In order to receive
Math 307H, Spring 2012
Midterm: Solutions
Page 1 of ?
1. (7 total points) A closed series circuit has a resistor of 2 ohms and an inductor of 1 henry. The
initial current has been measured to be 1 amperes. Furthermore, assume that a generator impresses an
Math 307i
Midterm 1 Answers
Winter 2011
1. This dierential equation is separable. We integrate to get
dy
dt
=
2
(y 5)
t
1
= ln t + c.
y5
Using our initial value, we nd that c = 1. Solving for y, we get
y=
1
+ 5.
ln t + 1
2. This is linear, so we put it in
Math 307i
Midterm 1
Winter 2011
Print Your Name
Problem
Total Points
1
10
2
10
3
15
4
15
5
10
Total
60
Score
You should:
write complete solutions or you may not receive credit.
box your nal answer.
check that your exam contains a total of 5 pages.
You
Math 307 I - Spring 2011
Mid-Term Exam 1
April 20, 2011
Name:
Student number:
1
2
3
4
5
Total
10
10
10
10
10
50
Complete all questions.
You may use a scientic calculator during this examination. Other electronic devices (e.g.
cell phones) are not allowe
Math 307 I - Spring 2011
Mid-Term Practice Exam
April 18, 2011
Name:
Student number:
1
2
3
4
5
Total
10
10
10
10
10
50
Complete all questions.
You may use a scientic calculator during this examination. Other electronic devices (e.g.
cell phones) are not
MATH 307 Autumn 2016
The following problems are taken from quizzes for the class taught in previous quarters. If you
are aiming at 4.0, the estimated time to correctly solve these is within 15 minutes.
Remark: If modelling problems appear in an exam, you
MATH 307 Autumn 2016
The following problems are taken from quizzes for the class taught in previous quarters. If you
are aiming at 4.0, the estimated time to correctly solve these is within 15 minutes.
1.
Solve the general problem:
dy
( y 1) e t
=
.
dt
2y