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 differentiate the equation twice (remembering that y i
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 this problem, the expression y 3 is to be interpreted
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 y2 Find the Wronskian
2.(1 pt) Solve the initial
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 22 y 0 4 y 0 16 (P*x^2 + Q*x + R)*exp(-6*x) yx (P*
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 continuous? xy + 2y = x2 - x + 1, y(1) = 2.Solve the e
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 derivatives of an unknown function y of a single variable x ove