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Unformatted text preview: Lab 1: Graphical Solutions to First Order Differential Equations Goals In this lab you will study differential equations and their initial-value problems with the help of dfield7 , a useful tool for investigating direction fields and solution curves of differential equations. With dfield7 or similar programs, it is easy to get qualitative information about the solutions of a differential equation. Moreover, with a little practice it is also possible to use dfield7 or similar programs to get quantitative information about the solution of initial-value problems for differential equations. Using Matlab with dfield7 After logging on to the Macintosh system in the Instructional Computer Labs located in the basement of East Hall, launch Matlab by clicking on the corresponding icon in the dock. As Matlab starts up, a logo and 3D graph resembling the icon will show up and eventually a window will open with the Matlab prompt. (It is >> ). In Windows or other environments the procedure for starting Matlab may be different. To begin this lab, type dfield7 in the Command Window and hit return. A window with the title DFIELD7 Setup opens with lots of little boxes all filled in; ignore them for now and click on the Proceed button. You will then see a graph with a direction field entitledbutton....
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