Solutions to Final Exam Sample Problems, Math 246, Fall 2013
dy
= (9 y 2)y 2 .
dt
(a) Identify its stationary points and classify their stability.
(b) Sketch its phase-line portrait in the interval 5
Solutions to Final Exam Sample Problems, Math 246, Fall 2012
dy
= (9 y 2)y 2 .
dt
(a) Identify its equilibrium (stationary) points and classify their stability.
(b) Sketch how solutions move in the in
MATH 246 - Quiz 1
Name:
Wednesday, June 4th, 2014
You have 10 minutes to complete this Quiz. No calculators or notes are to be used.
(1) [2pts] For the dierential equation below, state the order and w
Final Exam Sample Problems, Math 246, Fall 2012
dy
= (9 y 2)y 2 .
dt
(a) Identify its equilibrium (stationary) points and classify their stability.
(b) Sketch how solutions move in the interval 5 y 5
Math 246 - Final Exam Solutions
Friday, July 11th, 2014
(1) Find explicit solutions and give the interval of denition to the following initial value
problems
(a) (1 + t2 )y + 2ty = et , y(0) = 0.
Solu
Final Exam, Math 246/246H
Monday, 16 December 2013
Closed book. No electronics. Answer only one question on each answer page.
Write your name and which question is being answered on each answer page.
MATH 416
Extra credit
The signal given in the txt le represents the blood ow measurements of a patient. It is a part of a
long sequence of measurements; its beginning corresponds to the time moment wh
MATH 416
HOMEWORK 5
due April 5th, in class
Problem 1
2
(a) Find the Fourier transform of the function f (x) = ex ex ;
(b) Find the Fourier series of the following function f (x) = x2 on [1, 1].
Probl
MATH 416
HOMEWORK 4
due Tue, March 27th in class
Problem 1
Find the Fourier transforms of the following functions:
(a) f (x) = ex [0,+) (x) (here [0,+) (x) = 1 if x 0 and 0 otherwise);
(b) f (x) = e|x