Math 2171 (Differential Equations)
Exam 2 11/18/2009
NAME:
INSTRUCTIONS: Where it makes sense, you must show your work to receive credit.
You are only allowed a pencil, an eraser, and a calculator. I will provide scratch paper.
1. (5 points each) Consider
Math 2171 (Differential Equations)
Exam 1 09/30/2009
NAME:
INSTRUCTIONS: Where it makes sense, you must show your work to receive credit.
You are only allowed a pencil, an eraser, and a calculator. I will provide scratch paper.
1. (Direction Fields) (10 p
Homework Set 6
(Section 3.1)
For questions 1 through 5, first verify that yl and y; are solutions of the solutions of the given
differential equation. Then find a particular solution of the form y = c1 yl + (:2 yz that satises
the given initial conditio
Hemewetk Set 2
(Sections 1.4 8: LS)
For questions 1 through 8, find the general solutions of the separable differential equations. If
an initial condition is given, find the particular solution of the differential equation which
satisfies that ccmdition
Math 2171 (Differential Equations) Final Exam 12/16/2009
NAME:
INSTRUCTIONS: Where it makes sense, you must show your work to receive credit.
You are only allowed a pencil, an eraser, and a calculator. I will provide scratch paper.
1. Direction elds and E
Math 2171 (Differential Equations) Graded Homework 1
DUE 09/02/09
1. (Direction Field.) (a)=5 points, (b)=3 points, (c)=2 points.
(a) Let p(t) represent the population (in thousands) of a certain species. Over the square
0 t 4, 0 y 4, neatly sketch the di
Math 2171 (Differential Equations) Graded Homework 2
DUE 09/23/09
1. (Linear and Separable First Order IVPs.) (5 points each). Solve the following initial value
problems. Problems (a)-(c) can be solved explicitly, but leave your solution to part (d) in
im
Study guide for the test #2, Class 2171(Differential equations)
(Dr. A. Reznikova, Fall 2013)
1. Solve the initial value problem (it is a separable equation):
=
2. Suppose that the time rate of change of the population of insects is proportional to the
po
Answers to the study guide for the test #1, Spring 2016
1.
2.
y ( x) 0.5 2e x
2
y ( x) (1 / 4) x 5 (7 / 4) x 3
3. a)
y n 1 y n 0.2( x n y n )
is the Eulers method for the given equation with
the step size h = 0.2 and y(o)=1.
b) the exact solution is
y ( x