Sample WeBWorK problems. 1.(1 pt) Suppose that the initial value problem has a solution in an interval about x 0. Find y 0 = . Find y 0 = . Find y 0 = . Note that for y 0 and y 0 you will have to diff
McGill University
Faculty of Science
Fall 2014
Quiz 3.2
Department of Mathematics and Statistics
Ordinary Differential Equations for Engineers
Math 263
November 25th, 2014
Examiners: Prof. J. Hurtubis
McGill University
Fall 2014
Faculty of Science
Quiz 3.2-Solutions
Problem 1
(10 points) The equation
2x2 y 00 + 3xy 0 + (2x2 1)y = 0
has a Frobenius series solution centered around x = 0.
(a) Compute
McGill University Math 263: Differential Equations and Linear Algebra
CHAPTER 1:
INTRODUCTION
1 Denitions and Basic Concepts
1.1 Ordinary Differential Equation (ODE)
An equation involving the derivati
MATH 263, WRITTEN ASSIGNMENT 1
Due Thursday, February 7th 2008, by noon, at the Math Dept Office (BH1005). 1. Solve the initial value problem 1 . 2 Over which interval is the solution valid, and cont
Muhammad Ulhaque due 2/24/08 at 11:55 PM.
Assignment 4
MATH263, Winter 2008
.
Try y p x 1.(1 pt) Find y as a function of x if 4y 128e 2x y 4 4y Correct Answers: y0 18 y 0
Muhammad Ulhaque due 2/10/08 at 11:55 PM.
Assignment 3
MATH263, Winter 2008
with initial conditions y1 0 1 y1 0 0 y1 Find the function y2 of t which is the solution of with initial conditions
Muhammad Ulhaque due 1/27/08 at 11:55 PM.
Assignment 2
MATH263, Winter 2008
4.(1 pt) Find the solution to the initial value problem that is a non-zero polynomial function in x. . yx= 2 Note: In thi
Version 1
(1) Problem 1. Consider the equation
(1 + y 2 )(2x arctan y + ex ) + (x2 + 2y + 2y 3 )y 0 = 0.
(a) (5 points) Is this equation exact?
(b) (10 points) If not exact, find an integrating factor