Results 1 to 2 of 2

Math Help - [SOLVED] Find DE given slope and point?

  1. #1
    Senior Member mollymcf2009's Avatar
    Joined
    Jan 2009
    From
    Charleston, SC
    Posts
    490
    Awards
    1

    [SOLVED] Find DE given slope and point?

    Find the equation of the curve that passes thru the point (0,1) & whose slope at (x,y) is 13xy.

    I'm not sure how to start this. Can someone get me started without doing the whole prob?
    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426
    \frac{dy}{dx} = 13xy

    separate variables ...

    \frac{dy}{y} = 13x \, dx

    integrate ...

    \ln|y| = \frac{13x^2}{2} + C_1

    y = C_2e^{\frac{13x^2}{2}}

    y(0) = 1

    1 = C_2e^0

    C_2 = 1

    y = e^{\frac{13x^2}{2}}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: February 7th 2010, 12:47 PM
  2. Replies: 2
    Last Post: September 6th 2009, 09:24 AM
  3. Replies: 3
    Last Post: September 27th 2008, 03:05 PM
  4. [SOLVED] [SOLVED] Find antoher Point on an Ellipse
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 3rd 2007, 12:11 AM
  5. find point and slope
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: December 4th 2006, 09:37 PM

Search Tags


/mathhelpforum @mathhelpforum