7.2 - Home > My Assignments > Section 7.2...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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 initial-value 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 initial-value 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.

Ask a homework question - tutors are online