Results 1 to 2 of 2

Math Help - Field Lines of 3-D vector Functions

  1. #1
    Junior Member
    Joined
    Apr 2010
    Posts
    56

    Field Lines of 3-D vector Functions

    Hi,

    I have been asked to find the field lines of the 3-D vector function:

    F(x,y,z) = xyi +(y^2 +1)j + zk

    I missed my Math lab due to illness and am finding myself completely stumped on this one. If I recall correctly, the field lines of a 2-D vector function are found from integrating r'(t). I would be very grateful if someone could explain the steps and method used to answer this.

    Thank you in advanced.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by olski1 View Post
    Hi,

    I have been asked to find the field lines of the 3-D vector function:

    F(x,y,z) = xyi +(y^2 +1)j + zk

    I missed my Math lab due to illness and am finding myself completely stumped on this one. If I recall correctly, the field lines of a 2-D vector function are found from integrating r'(t). I would be very grateful if someone could explain the steps and method used to answer this.

    Thank you in advanced.
    Solve the following simultaneously:

    dx/dt = xy.

    dy/dt = y^2 + 1.

    dz/dt = z.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Ring, field, Galois-Field, Vector Space
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: November 15th 2012, 04:25 PM
  2. Finding flow lines for a given vector field
    Posted in the Calculus Forum
    Replies: 0
    Last Post: August 25th 2010, 01:03 AM
  3. Electric Field Lines
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: September 15th 2009, 02:55 AM
  4. Flow Lines of vector Field
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 18th 2009, 10:45 PM

/mathhelpforum @mathhelpforum