MATH 319 - SEC 003, SPRING 2014.
PRACTICE PROBLEMS FOR MIDTERM 2
INSTRUCTOR: GERARDO HERNANDEZ
Problem Find the general solution to each of the following equations
y + 6y + 13y = 0
y + 2y 3y = 0
4y 4y + y = 0
4y + 9y = 0
Problem Find the solution of t
MATH 319, Fall 2013, Assignment 4
Textbook Questions
Section 2.3,
#3 A tank originally contains 100 gal of fresh water. Then water
containing 1/2 lb of salt per gallon is poured into the tank at
a rate of 2 gal/min, and the mixture is allowed to leave at
MATH 319, Fall 2013, Assignment 3
Textbook Questions
Section 2.2, #32 Show that the following dierential equation is (power) homogeneous and then solve it:
dy
x2 + 3y 2
=
dx
2xy
#35 Show that the following dierential equation is (power) homogeneous and th
MATH 319, Fall 2013, Assignment 2
Textbook Questions
Section 2.1 # 9 For the dierential equation 2y + y = 3t, do the following:
(a) Draw a direction eld for the given dierential equations.
(b) Based on an inspection of the direction eld, describe how
solu
MATH 319, Fall 2013, Assignment 3
Due date: Friday, September 27
Name (printed):
UW Student ID Number:
Discussion Section: (circle)
Liu Liu:
301 302 303
304
Huanyu Wen:
305
306
323
324
Dongfei Pei:
325
326
329
Kai Hsu:
327
328
Instructions
1. Fill out thi
MATH 319, Fall 2013, Assignment 2
Due date: Friday, September 20
Name (printed):
UW Student ID Number:
Discussion Section: (circle)
Liu Liu:
301 302 303
304
Huanyu Wen:
305
306
323
324
Dongfei Pei:
325
326
329
Kai Hsu:
327
328
Instructions
1. Fill out thi
MATH 319, Fall 2013, Assignment 1
Due date: Friday, September 13
Name (printed):
UW Student ID Number:
Discussion Section: (circle)
Liu Liu:
301 302 303
304
Huanyu Wen:
305
306
323
324
Dongfei Pei:
325
326
329
Kai Hsu:
327
328
Instructions
1. Fill out thi
MATH 319 - SEC 003, SPRING 2014. HOMEWORK 13
INSTRUCTOR: GERARDO HERNANDEZ
Due : Friday, May 9.
Please show all your work and/or justify your answers.
Problem. Determine the equilibrium temperature distribution for a one-dimensional rod with
constant ther
MATH 319 - SEC 003, SPRING 2014. HOMEWORK 7
INSTRUCTOR: GERARDO HERNANDEZ
Due : Wednesday, March 26.
Please show all your work and/or justify your answers.
Section 3.5 Problems 9-12 In each of the problems 9-12 nd the general solution of the given
dierent
MATH 319 - SEC 003, SPRING 2014. HOMEWORK 8
INSTRUCTOR: GERARDO HERNANDEZ
Due : Wednesday, April 2nd.
Please show all your work and/or justify your answers.
Section 4.1 Problems 11 and 16 Verify that the given functions are solutions of the dierential
equ
MATH 319 - SEC 003, SPRING 2014. HOMEWORK 9
INSTRUCTOR: GERARDO HERNANDEZ
Due : Friday, April 11.
Please show all your work and/or justify your answers.
Section 5.2 Problems 19
(a) By making the change of variables x 1 = t and assuming y has a Taylor seri
MATH 319 - SEC 003, SPRING 2014. HOMEWORK 10
INSTRUCTOR: GERARDO HERNANDEZ
Due : Friday, April 18.
Please show all your work and/or justify your answers.
Section 5.3 Problems 7 and 8 Determine a lower bound for the radius of convergence of series
solution
MATH 319, Fall 2013, Assignment 4
Due date: Friday, October 11
Name (printed):
UW Student ID Number:
Discussion Section: (circle)
Liu Liu:
301 302 303
304
Huanyu Wen:
305
306
323
324
Dongfei Pei:
325
326
329
Kai Hsu:
327
328
Instructions
1. Fill out this
MATH 319, WEEK 11 & 12:
Laplace Transforms: Discontinuous Forcing
Functions
1
Piecewise Functions
In the motivation for Laplace Transforms, we were led to believe that one
of the primary advantages of this method is that it easily handles nonsmooth and ev
MATH 319, Fall 2013, Assignment 10
Textbook Questions
Section 7.1,
#3 Transform the following equation into a system of rst order equations:
t2 u + tu + (t2 0.25)u = 0
#4 Transform the following equation into a system of rst order equations:
u(4) u = 0
Se
MATH 319, Fall 2013, Assignment 9
Due date: Monday, November 25
Name (printed):
UW Student ID Number:
Discussion Section: (circle)
Liu Liu:
301 302 303
304
Huanyu Wen:
305
306
323
324
Dongfei Pei:
325
326
329
Kai Hsu:
327
328
Instructions
1. Fill out this
MATH 319, Fall 2013, Assignment 10
Due date: Wednesday, December 4
Name (printed):
UW Student ID Number:
Discussion Section: (circle)
Liu Liu:
301 302 303
304
Huanyu Wen:
305
306
323
324
Dongfei Pei:
325
326
329
Kai Hsu:
327
328
Instructions
1. Fill out t
MATH 319, Fall 2013, Assignment 10
Textbook Questions
Section 7.5,
#3 Find the general solution of the given system of equations and
describe the behavior of the solution as t . Also draw the
direction eld and plot a few trajectories of the system:
x =
2
MATH 319, Fall 2013, Term Test II
Supplemental Questions
Notes on Term Test II:
The second term test will not be cumulative! It will cover the material since the rst term testsecond-order dierential equationsand
specically will cover Chapters 3, 5, and 6
FINAL EXAM. Math 319
May 17, 2012
Your Name
TAs Name
No.
1
Score
Section
2
3
4
5
6
7
8
9
Totals
Problem 1 (23 points, 15+5+3)
1. Find the general solution of the equation 2t3 y 3t2 y + et y 3 = 0, t > 0.
2. Find the solution satisfying the initial conditi