Results 1 to 2 of 2

Math Help - Slope field question

  1. #1
    Member
    Joined
    Sep 2008
    Posts
    126

    Slope field question

    Consider the differntial equation dy/dx= (y-1)^2 cos(πx)

    I did everything, but don't get this one part of the problem..

    b) There is a horizontal line with equation y=c that satisfies this differential equation. Find the value of c.
    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 elpermic View Post
    Consider the differntial equation dy/dx= (y-1)^2 cos(πx)

    I did everything, but don't get this one part of the problem..

    b) There is a horizontal line with equation y=c that satisfies this differential equation. Find the value of c.
    A horizontal line y(x)=c satisfies \frac{dy}{dx}=0. If c is such that y(x)=c satisfies the equation, then we must have 0=(c-1)^2 \cos(\pi x) for every x. This implies c=1. Conversely, y(x)=1 is a solution.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Differential Slope Field Help
    Posted in the Calculus Forum
    Replies: 6
    Last Post: March 28th 2010, 02:29 PM
  2. Slope Field & y(x)
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 6th 2010, 01:47 PM
  3. Slope Field Help?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 5th 2009, 10:17 PM
  4. [SOLVED] Slope Field
    Posted in the Calculus Forum
    Replies: 1
    Last Post: January 18th 2009, 12:09 AM
  5. Slope Field
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 20th 2008, 03:04 PM

Search Tags


/mathhelpforum @mathhelpforum