1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Match the equation with the Direction Field

  1. Feb 9, 2013 #1
    1. The problem statement, all variables and given/known data
    Which of the following direction fields corresponds to the equation:

    y' = y-t

    I have attached an image of the direction fields

    2. Relevant equations

    3. The attempt at a solution
    I get that each arrow represents the slope of the function at that point, but I'm not sure how I'm supposed to match the equation to the direction field without knowing what the function is.

    Help is appreciated.

    Attached Files:

  2. jcsd
  3. Feb 9, 2013 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Try looking for straight line solutions, y = at+b.
  4. Feb 10, 2013 #3
    As the derivative is graphically the slope of the tangent line at a given point on the function, at the point (t, y(t)) the direction field should match the value of y'.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook