Results 1 to 2 of 2

Math Help - orthogonal trajectory of an ellipse!

  1. #1
    Newbie
    Joined
    Nov 2008
    Posts
    21

    orthogonal trajectory of an ellipse!

    Find the orthogonal trajectories of the family of curves.


    I don't know how to begin this!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    May 2008
    Posts
    2,295
    Thanks
    7
    Quote Originally Posted by khood View Post
    Find the orthogonal trajectories of the family of curves.


    I don't know how to begin this!
    differentiate your curve: x+2yy'=0. replace y' with \frac{-1}{y'} to get the differential equation of the orthogonal trajectories: \frac{y'}{y}=\frac{2}{x}. solve the equation to get: y=cx^2.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Differential Equation Slope and Orthogonal Trajectory Questions
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: September 10th 2011, 05:02 AM
  2. Orthogonal trajectory problem
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: April 1st 2011, 04:45 AM
  3. Phase trajectory.
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: April 23rd 2010, 09:40 AM
  4. Differential arc of a trajectory
    Posted in the Calculus Forum
    Replies: 0
    Last Post: March 13th 2010, 12:03 PM
  5. trajectory eq.
    Posted in the Calculus Forum
    Replies: 3
    Last Post: November 21st 2009, 12:38 PM

Search Tags


/mathhelpforum @mathhelpforum