MATH 3740 Computer Project #2 Due to Wednesday, February 13 2008 You can work in 2-persons teams for this Computer Project. Please, submit a printed output of your work. NAME: GRADE: COMMENTS:
<Text-field style="_cstyle7" layout="_pstyle7">Problems. You can use procedures for Euler and improved Euler methods from the Maple worksheet "Numerical methods for first-order differential equations (Euler method)" which you can download from the course webpage in this computer project.</Text-field>
<Text-field style="ParagraphStyle1" layout="_pstyle9"><Font style="_cstyle9">Problem 1 Solve problem 16 from Section 2.4( page 119) (read carefully a task for this problem before problem 11) by using Euler and Improved Euler methods. Use command </Font><Font style="_cstyle10">lprint</Font><Font style="_cstyle9"> to represent results which you are asked to obtain.</Font></Text-field>
<Text-field style="_cstyle14" layout="_pstyle13">Problem 2 (a) Write a Maple procedure for numerical solution of differential equations using Runge-Kutta method. (You can use Maple procedure for Euler or Improved Euler method to do this task). (b) Consider Problem 20 from Section 2.3 (page 107) and use your procedure to find time when an arrow will attain its highest position. Hint: plot the graph of velocity depending upon time to estimate this time.</Text-field>