Example: xrange= -5:0.5:5; %the domain of x is from -5 up to 5 with 0.5 interval. yrange -10:1:10; %the values of y is from -10 up to 10 with 1 interval. [x,y] meshgrid(xrange,yrange); %plot the DE y' = x^2+y^2; s = x.^2+y^2; quiver (x,y,ones (size(s)),s) Exercises: Sketch the direction fields of the following differential equations 1. y'= 0.25xy² 2. y'= sin(x-y) Notes: For the ranges: For Item No.1

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Instruction: Please answer like the example in the photo. Thank you! 

Example:
xrange -5:0.5:5; %the domain of x is from -5 up to 5 with 0.5 interval.
yrange= -10:1:10; %the values of y is from -10 up to 10 with 1 interval.
[x,y] = meshgrid(xrange,yrange);
%plot the DE
y' = x^2+y^2;
5 = x.^2+y^2;
quiver (x,y,ones (size(s)),s)
Exercises:
Sketch the direction fields of the following differential equations
1. y' = 0.25xy²
2. y'= sin(x-y)
=
Notes:
For the ranges:
For Item No.1
Use xr1 = (-5,5) with 0.5 interval yr1 = (-10,10) with 0.5 interval
Use sf for the f(x,y), x1 and y1 as the points in the rectangular coordinate system,
For Item No.2
Use xr2 = (-10,10) with 1 interval yr2 = (-6,6) with 0.2 interval
Use s2 for the f(x,y), x2 and y2 as the points in the rectangular coordinate system,
Script
1
2
3
4
5
6
7 figure(1)
8 quiver (x1, yl,ones (size(sl)),s1)
9
10
11
12
13
14
15 figure(2)
16 quiver (x2,y2,ones (size(s2)),s2)
17
230
Save
C Reset
MATLAB Documentation.
Transcribed Image Text:Example: xrange -5:0.5:5; %the domain of x is from -5 up to 5 with 0.5 interval. yrange= -10:1:10; %the values of y is from -10 up to 10 with 1 interval. [x,y] = meshgrid(xrange,yrange); %plot the DE y' = x^2+y^2; 5 = x.^2+y^2; quiver (x,y,ones (size(s)),s) Exercises: Sketch the direction fields of the following differential equations 1. y' = 0.25xy² 2. y'= sin(x-y) = Notes: For the ranges: For Item No.1 Use xr1 = (-5,5) with 0.5 interval yr1 = (-10,10) with 0.5 interval Use sf for the f(x,y), x1 and y1 as the points in the rectangular coordinate system, For Item No.2 Use xr2 = (-10,10) with 1 interval yr2 = (-6,6) with 0.2 interval Use s2 for the f(x,y), x2 and y2 as the points in the rectangular coordinate system, Script 1 2 3 4 5 6 7 figure(1) 8 quiver (x1, yl,ones (size(sl)),s1) 9 10 11 12 13 14 15 figure(2) 16 quiver (x2,y2,ones (size(s2)),s2) 17 230 Save C Reset MATLAB Documentation.
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