Results 1 to 2 of 2

Math Help - direction field-diiferental equation

  1. #1
    Junior Member
    Joined
    Jan 2009
    Posts
    70

    direction field-diiferental equation

    Hi, i know how to Sketch the direction field but don't unbdestand the part


    direction field-diiferental equation-untitled.jpg

    "Using the direction field decide whether a solution y(x) tends to a finite limit when x goes to infinity. How does this limit depend on the value of the initial condition y(0) ?" (Please look at the attachment)
    Can some1 please help me
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2008
    From
    Paris, France
    Posts
    1,174
    Quote Originally Posted by nerdo View Post
    Hi, i know how to Sketch the direction field but don't unbdestand the part


    Click image for larger version. 

Name:	untitled.JPG 
Views:	25 
Size:	18.2 KB 
ID:	9693

    "Using the direction field decide whether a solution y(x) tends to a finite limit when x goes to infinity. How does this limit depend on the value of the initial condition y(0) ?" (Please look at the attachment)
    Can some1 please help me
    If you sketched the direction field, the answers should be obvious: sketch a few solutions with various initial conditions, look at what is happening... The direction field gives you the slopes of the solution, so you know when they increase of decrease, this is the main point. Look in particular at what happens when y(0)=1 or y(0)=2. These are the "critical" cases.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: November 22nd 2011, 07:04 AM
  2. direction field and trajectories
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: April 9th 2010, 04:33 AM
  3. Replies: 1
    Last Post: November 9th 2009, 03:12 PM
  4. Differential Equation direction fields
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: September 16th 2008, 07:01 AM
  5. Simple Direction Field Question
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 26th 2007, 07:58 PM

Search Tags


/mathhelpforum @mathhelpforum