Solution Library

Solve Ordinary Differential Equations Using MATLAB

Question

Solve the following ODE numerically using (A) a MATLAB differential equationsolver, (B) using your own Euler method, and (C) analytically. Plot the two numerical solutions (black, blue) and analytic solution (red) on one graph with x = [0,5]. What steps size (h) did you need to use for the Euler method to get a good result. How does this compare with the result from the MATLAB routine? Show your work for finding the analytic solution.

Y” + 2Y’ + 3Y = 0

                                    Y (0) = 0

Y’ (0) = -1

 

Summary

This question belongs to MATLAB software and discusses about application of MATLAB to ordinary differential equations and to plot the numerical solutions.

 

 

 

 

Download Full Solution

Comments

  • HWA
    Rasha

    this is a very good website

  • HWA
    maani

    I have 50 questions for the same test your page is showing only 28

  • HWA
    joeanne

    hi can you please help or guide me to answer my assignments. thanks

  • HWA
    joeanne

    hi can anyone help or guide me to my assignments. thanks

  • HWA
    Monik


  • HWA
    Cristina

    This solution is perfect ...thanks

  • HWA
    Janete

    Hello Allison,I love the 2nd image that you did! I also, had never heard of SumoPaint, is something that I will have to exolpre a bit! I understand completely the 52 (or so) youtube videos that you probably watched. Sometimes they have what you want, sometimes they don't! However, it is always satisfying when you are able to produce something that you have taught yourself. Great job!Debra 0 likes

  • HWA
    Sandeep

    Perfect bank of solution. 

  • HWA
    Oxana

    great !

  • HWA
    Paul Brandon-Fritzius

    thanks for the quick response. the solution looks good. :)

  • HWA
    tina Johnson

    thnx for the answer. it was perfect. just the way i wanted it. 

  • HWA
    Giuseppe

    works fine.