A Numerical Solution Using MAPLE

<BODY LANG="EN"> <HR><center> <table border=1> <TR> <td><A HREF="node12.shtml"><img height=36 width=36 alt="PREVIOUS" src="/UCESIcons/tools/previous.gif"></A></td> <td><A HREF="node11.shtml"><img height=36 width=36 alt="UP" src="/UCESIcons/tools/up.gif"></A></td> <td><A HREF="node14.shtml"><img height=36 width=36 alt="NEXT" src="/UCESIcons/tools/next.gif"></A></td> <td><a href="contents-node13.html"><img height=36 width=36 alt="CONTENTS" src="/UCESIcons/tools/toc.gif"></a></td> <td><a href="reset.hamlet"><img height=36 width=36 alt="RESET" src="/UCESIcons/tools/stop.gif"></a></td> <td><a href="copyright.html"><img height=36 width=36 alt="COPYRIGHT" src="/UCESIcons/tools/copyright.gif"></a></td> <td><a href="mailto:uces_info@krellinst.org"><img height=36 width=36 alt="FEEDBACK" src="/UCESIcons/tools/feedback.gif"></a></td> <td><a href="http://www.cs.utah.edu/%7Ehamlet/icons.html"><img height=36 width=36 alt="ABOUT" src="/UCESIcons/tools/about.gif"></a></td> </TR> </table> </center> <HR> <!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML 2.2//EN">  <HTML> <HEAD> <TITLE>A Numerical Solution Using MAPLE</TITLE> <BASE TARGET="_parent"> <META NAME="description" CONTENT="A Numerical Solution Using MAPLE"> <META NAME="keywords" CONTENT="cone"> <META NAME="resource-type" CONTENT="document"> <META NAME="distribution" CONTENT="global"> <LINK REL=STYLESHEET HREF="cone.css"> </HEAD> <BODY LANG="EN"> <H3>A Numerical Solution Using M<font size=-1><small>APLE</small></font></H3> <P> To obtain a numerical solution using M<font size=-1><small>APLE</small></font>, we first enter the equation and store it in variable <I>de</I>2.: <P> <a href="sende8.hamlet"><img height=24 width=24 alt="EXECUTE" src="/UCESIcons/tools/execute.gif"></a> <a href="showe8.html" TARGET="results"><img height=24 width=24 alt="SHOWCODE" src="/UCESIcons/tools/show_code.gif"></a> <P> Then, as when plotting the solution to <I>de</I>1, we assign numerical values to all parameters before submitting <I>de</I>1 for solution with the following statement: <P> <a href="sende9.hamlet"><img height=24 width=24 alt="EXECUTE" src="/UCESIcons/tools/execute.gif"></a> <a href="showe9.html" TARGET="results"><img height=24 width=24 alt="SHOWCODE" src="/UCESIcons/tools/show_code.gif"></a> <P> If M<font size=-1><small>APLE</small></font> is successful, you will get the following response: <PRE>y1(t):= proc(rkf45_x) ... end</PRE> To use M<font size=-1><small>APLE</small></font> to plot the resulting solution we enter: <P> <a href="sende11.hamlet"><img height=24 width=24 alt="EXECUTE" src="/UCESIcons/tools/execute.gif"></a> <a href="showe11.html" TARGET="results"><img height=24 width=24 alt="SHOWCODE" src="/UCESIcons/tools/show_code.gif"></a> <P> Expect to wait several minutes for M<font size=-1><small>APLE</small></font> to do this plot! <P> </BODY> </HTML> <HR><center> <table border=1> <TR> <td><A HREF="node12.shtml"><img height=36 width=36 alt="PREVIOUS" src="/UCESIcons/tools/previous.gif"></A></td> <td><A HREF="node11.shtml"><img height=36 width=36 alt="UP" src="/UCESIcons/tools/up.gif"></A></td> <td><A HREF="node14.shtml"><img height=36 width=36 alt="NEXT" src="/UCESIcons/tools/next.gif"></A></td> <td><a href="contents-node13.html"><img height=36 width=36 alt="CONTENTS" src="/UCESIcons/tools/toc.gif"></a></td> <td><a href="reset.hamlet"><img height=36 width=36 alt="RESET" src="/UCESIcons/tools/stop.gif"></a></td> <td><a href="copyright.html"><img height=36 width=36 alt="COPYRIGHT" src="/UCESIcons/tools/copyright.gif"></a></td> <td><a href="mailto:uces_info@krellinst.org"><img height=36 width=36 alt="FEEDBACK" src="/UCESIcons/tools/feedback.gif"></a></td> <td><a href="http://www.cs.utah.edu/%7Ehamlet/icons.html"><img height=36 width=36 alt="ABOUT" src="/UCESIcons/tools/about.gif"></a></td> </TR> </table> </center> <HR> <P> <ADDRESS> <I>Boyd Gatlin<BR> Associate Professor of Aerospace Engineering<BR> Mississippi State University</I>  </ADDRESS> </BODY>