This preview shows page 1. Sign up to view the full content.
Unformatted text preview: Home > My Assignments > Section 7.2
(Homework)
About this Assignment SMALL BRIAN DIXON MA 241, section 009, Fall 2005 Instructor: Drew Pasteur North Carolina State University Due: Wednesday, October 12, 2005 11:01 PM EDT Description Direction Fields and Current Score: 11 out of 11 Euler's Method Question Score
pts subs 1 3/3 1/20 3/3 Viewing: Last Response View: All Responses Notes 1. [SCalcCC2 7.2.02.] A direction field for the differential equation y' = x sin y is shown. (a) Sketch the graphs of the solutions that satisfy the given initial conditions. (Do this on paper. Your teacher may ask you to turn in this work.) (i) y(0) = 1 (ii) y(0) = 2 (iii) y(0) = (iv) y(0) = 4 (v) y(0) = 5 (b) Find all the equilibrium solutions using n as a generic integer. y = n*pi [n*pi] pts subs 1 0.5/0.5 2/20 0.5/0.5 Viewing: Last Response View: All Responses Notes 2. [SCalcCC2 7.2.04.] Match the differential equation with its direction field (labeled I  IV y' = y  x II [ II ] I II III I pts subs 1 0.5/0.5 1/20 0.5/0.5 Viewing: Last Response View: All Responses Notes 3. [SCalcCC2 7.2.06.] Match the differential equation with its direction field (labeled I  IV y' = y3  x3 I [I] I II III I pts subs 1 3/3 1/20 3/3 Viewing: Last Response View: All Responses Notes 4. [SCalcCC2 7.2.22.] Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initialvalue problem below. Give your answer correct to 4 decimal places. y' = 1  xy y(0) = 0 y(1) = 0.7824 [0.7824] pts subs 1 2/2 1/20 2 2/2 1/20 4/4 Viewing: Last Response View: All Responses Notes 5. [SCalcCC2 7.2.24.] (a) Use Euler's method with step size 0.2 to estimate y(1.4), where y(x) is the solution of the initialvalue problem below. Give your answer correct to 4 decimal places. y' = x  xy y(1) = 0 y(1.4) = 0.3920 [0.3920] (b) Repeat part (a) with step size 0.1. Give your answer correct to 4 decimal places. y(1.4) = 0.3868 [0.3868] Home My Assignments ...
View
Full
Document
This note was uploaded on 10/21/2009 for the course MATH MA241 taught by Professor Hubbard during the Spring '09 term at N.C. Central.
 Spring '09
 Hubbard
 Calculus

Click to edit the document details