Differential Equations Assignment 2: (Solutions) Quantitative Methods for First Order Equations and Modeling: 1. Use the method of integrating factors to find the general solution to the following first order differential equations: (a) y + 3y = 0 Th
Homework #2
2013 Due Wednesday, Feb 6th in lecture
Math 527, UNH spring
Instructions:
1.
2.
3.
4.
5.
AWE: Always Write Equations!
Your work should be organized and legible.
Use loose-leaf paper, not pages torn out from a spiral notebook.
Staple the pages
Homework #0
2013 Will not be graded,
Math 527, UNH spring
Instructions: Dierential equations require a good knowledge of calculus. You should
be able to do these problems easily and with condence. Problems 121 are especially
simple you should be able to d
Exam #1, Feb 11, 2013
Math 527, University
of New Hampshire
Name:
Section:
INSTRUCTIONS:
PLEASE READ CAREFULLY
l. Write your name and section number above. 5 pts will deducted if either is missing or illegible.
2. Show your work and put a box or circle ar
Homework #3: Applications of 1st-order equations
2013 Due Friday, February 15th in lecture
Math 527, UNH spring
Problem 1. Newtons empirical law of heating/cooling is
dT
= k (T Tm )
dt
where T (t) is the temperature of an object as a function of time, k i
Homework #8
Math 527, UNH spring 2013
Problem 1: Determine the Laplace transform or inverse Laplace transform by combining
rules from the table of Laplace transform.
(a) L 1
1
(s a)n
(b) L 1
eas
s
(c) L 1 eas
=
(for positive integer n)
=
1
(s b)2 + k 2
=
Exam #2, March 6, 2013
Math 527, University
of New Hampshire
Name:
Section:
INSTRUCTIONS:
PLEASE READ CAREFULLY
1. Write your name and section number above. Two points deducted if either is missing or illegible.
2. Show your work and put a box or circle a
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Homework #1
2013 Due Wednesday, Jan 30th in lecture
Math 527, UNH spring
Instructions:
1. Solve the following problems, simplifying the solution as much as you can.
2. AWE: Always Write Equations!
3. Your work should be organized and legible.
4. Use loose
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Homework #5
Due March 1 in lecture
Math 527, UNH spring 2013
Problems 1-6: Find the general solution of the linear nonhomogeneous ODE using
judicious guessing or variation of parameters. (Dierentiation on the left-hand side is
with respect to the same var
Homework #6: Laplace transforms
Due Friday, March 22nd in lecture
Math 527, UNH spring 2013
Problem 1. Derive the Laplace transform of eat using the denition of the Laplace
transform.
Problem 2. Derive the Laplace transform of sin kt and cos kt, starting