AMath 350
Assignment #2
Winter 2015
SOLUTIONS
1. (Are the given equations separable, linear, neither, or both?)
a) Not separable, but linear.
b) Separable, but not linear.
c) Both.
d) Neither.
e) Both.
f) Separable, but not linear.
2.
a) Find the solution
AMath 350
Assignment #8
Fall 2013
Solutions
1. Following the hint, we have
Z1
Z
(x x2 ) dx =
e
0
1
0
=e
Now, letting u = x
1
2
2
e (x x) dx =
1
4
Z
1
e (x
Z
1
0
h
x
e(
12
2
)
1
4
i
dx
12
2
) dx.
0
, this becomes
e
1
4
Z
1
2
e
u2
du
e
u2
du.
1
2
and since
AMath 350
Assignment #2
Winter 2014
SOLUTIONS
1. (Are the given equations separable, linear, neither, or both?)
a) Not separable, but linear.
b) Separable, but not linear.
c) Both.
d) Neither.
e) Both.
f) Separable, but not linear.
2.
a) Find the solution
AMath 350
Assignment #2
Fall 2013
SOLUTIONS
1. (Are the given equations separable, linear, neither, or both?)
a) Not separable, but linear.
b) Separable, but not linear.
c) Both.
d) Neither.
e) Both.
f) Separable, but not linear.
2.
a) Find the solution t
2007/10/24
(4 points)
a. S=cfw_,, P(y)= 1/3 if y=
2/3 if y=
b. S=cfw_1,2,3,4,5,6, P(y)= 1/3 for all y belongs to S
c. S=cfw_3,2,1,0,1,2,3, P(y)= y/6 if 3y<0
0
if y0
3
y
3 y
d. S=cfw_0,1,2,3,
P(y)= C y (0.5) (0.5)
70%30%
50%80%
(2 points) 1.
(2 poin
de1b2bf472f0ea00fc6870f573fba3c5f234d996
Date
Open
High
Low
Close
Volume
Adj Close
20161201 2200.169922 2277.530029 2187.439941 2238.830078 3710578000 2238.830078
20161101 2128.679932 2214.100098 2083.790039 2198.810059 4468273300 2198.810059
201610
CS 338: Computer Applications for Business: Databases
Winter 2017
Assignment 2
Objectives: The purpose of this assignment is to improve your skills for SQL schema
understanding and for answering SQL queries. To help you with this, a Social Network databas
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Note on the change of date of the Midterm test
Please note that the previously slotted date for your Midterm test was February 08, but I changed it to
February 28 (Tuesday), from 6:308:00 P.M. in the following three rooms: MC 4041, 4042 and 4059.
AMath 350 Course Outline Winter 2017
Differential Equations for Business and Economics
Lectures:
Mondays, Wednesdays, and Fridays; 11:30 12:20; in MC 4059
Text:
Course Notes, by SueAnn Campbell, available from MC 2018.
Instructor:
Zoran Miskovic
zmiskovi
AMATH 350  Final Exam
Page 12 of 12
Initials:
Possibly useful formulas
Eulers Formula: ei = cos() + i sin()
Sine and Cosine functions: sin() =
1
2i
ei ei and cos() = 12 ei + ei
PDEs: Applying the transformation = (x, y), = (x, y) to the PDE
a(x, y)uxx +
AMath 350
Assignment #9
Fall 2013
Due Friday, November 29th
Hand in #4, #5, and #6ab.
1. Use the denition or Theorem 5.31 of the Course Notes to determine if the
Fourier Transform of each of the following functions exists.
a) f (x) = x
2
b) f (x) = xe x
(
UNIVERSITY OF WATERLOO
FINAL EXAMINATION
FALL TERM 2012
Name (Please Print Legibly)
Signature
Student ID Number
COURSE NUMBER AMath 350
COURSE TITLE Differential Equations for Business and Economics
COURSE SECTION(s) 001 002
DATE OF EXAM Saturday, Decembe
University of Waterloo
AMath 350
Midterm Examination Fall 2012
Wednesday, October 24. Duration: 90 minutes
Name (print):
I. *RQLOX H 1') \Q .5
LB. Number: _,_,_._._._+._h
\
Signature:
Closed book.
Calculators 1M permitted.
MARKS
Marks Available Marks
AMATH 350
Final Exam Information
Winter 2017
Wednesday, April 12, 9:00  11:30 am, in PAC areas 11 & 12.
* The problems on the Final Exam are largely based on those from ALL assignments,
examples in the Course Notes and from the lectures.
* You should kno
AMATH 350
Trial particular solutions
3.5 Finding a Particular Solution of the Nonhomogeneous DEs
Consider the nonhomogeneous DE
(D)[y] = F (x).
(1)
y(x) = yh (x) + yp (x)
(2)
The general solution of DE (1) is
where yh (x) is the general solution of the
AMATH 350
Page 10 of 11
Final Examination  Winter 2013
Formulas
Standard Normal Cumulative Distribution Function:
Z x
!2
1
(x) = p
e 2 d!
2 1
Error function:
Identities:
2
erf (x) = p
Z
x
e
1
x
p
(x) =
1 + erf
,
2
2
Fourier Transform:
F cfw_f (x) = f (!)
AMATH 350
Assignment 6
Winter 2016
The assignment is due Wednesday, March 16th, at the beginning of the lecture.
Late submissions will not be accepted.
1. Find the solutions of the following systems, using the Variation of Parameters Method to find the
p
AMath 350 Course Outline Winter 2016
Differential Equations for Business and Economics
Lectures: Mondays, Wednesdays, and Fridays, 11:3012:20, MC 4021
Text:
Course Notes, by SueAnn Campbell, available from MC 2018.
Instructor:
Mohamad Alwan
[email protected]
AMATH 350
Final Exam Information
Winter 2016
Tuesday, April 12th, 7:30 p.m. 10:00 p.m.
* The problems on the Final Exam are largely based on those from ALL assignments,
examples in the Course Notes and from the lectures.
* You should know the proofs of

AMATH 350
Assignment 2
Fall 2016
The assignment is due Tuesday, September 27th, at the beginning of the lecture.
Late submissions will not be accepted.
1. Are the following DEs separable, linear, neither or both?
(a) x0 = tx
(d)
dy
2y x
=
dx
y
dy
sin t
AMATH 350
Assignment 8
Winter 2016
The assignment is due Thursday, November 24th, at the beginning of the lecture.
Late submissions will not be accepted.
1. We have shown in the class that an elliptic PDE can be reduced to
A
u + C u
+ (, , u
, u
) = 0
AMATH 350
Assignment 9 (Not due)
Fall 2016
This assignment largely covers the materials discussed in the class.
1. Let the price of an asset, S(t), satisfy the stochastic differential equation (SDE)
dS = Sdt + SdW (t)
(1)
where is the growth/decay rate of
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AMATH 350
Assignment 2
Winter 2017
The assignment is due Friday, January 20th, in class, at the beginning of the lecture.
Late submissions will not be accepted.
1. Are the following DEs separable, linear, neither or both?
(a) x = tx
(d)
dy
2y x
=
dx
y
dy
u N, I v a a s a r Y cu: Midterm Examination (V1)
*' WATERLOO Yeem. Wieeee Yeee 2017
3 Old t? "3 2" 111) V 1.5;
(First name) (Middle name) (Last name)
Student name:
Waterloo student identication number:
Course abbreviation and number: AMATH 350 (001)
Co