Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

System Help

  1. Dec 10, 2004 #1
    Hello everyone I am hoping to get a little with a system.

    Here is the the system:

    dx = y
    dt

    dy = -y^2 - sin(x)
    dt

    I need to find all the equilibira and determine whether they are sinks, sources, etc...

    I need to sketch the x and y nullclines.

    Indicate the direction of the solution curve in any regions bounded by the nullcines.

    Lastly, sketch the entire phase plane.



    Thank you for the help in advance!
     
  2. jcsd
  3. Dec 11, 2004 #2

    arildno

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    What have you done so far?
     
  4. Dec 11, 2004 #3

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    An "equilibrium" point is where the function is a constant: you must have
    [tex]\frac{dx}{dt}= y= 0[/tex]
    and
    [tex]/frac{dy}{dt}= -y^2- sin9x)= 0[/tex].

    What does that tell you?
     
    Last edited: Dec 11, 2004
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: System Help
  1. ODE System Help (Replies: 11)

Loading...