Results 1 to 2 of 2

Math Help - Arbitrary constants' elimination

  1. #1
    Newbie
    Joined
    May 2014
    From
    Praha
    Posts
    10

    Arbitrary constants' elimination

    Hi everyone,

    I need to make the differential equation by eliminating the arbitrary constants a, b and c from ln y = ax^2 + bx +c.

    I've done a similar problem (y=ax^2 + bx +c) using Wrosnkian and ended up with y'''=0.

    Any hint to solve this problem? (e^lny = e^(ax^2 + bx + c) ---> y=e^(ax^2+bx+c)?)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member Rebesques's Avatar
    Joined
    Jul 2005
    From
    At my house.
    Posts
    538
    Thanks
    11

    Re: Arbitrary constants' elimination

    Differentiating twice gives
    yy'-(y')^2=2ay^2
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: September 12th 2011, 09:03 PM
  2. Elimination of Arbitrary Constants 3
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 1st 2011, 11:17 AM
  3. Elimination of Arbitrary Constants
    Posted in the Calculus Forum
    Replies: 5
    Last Post: January 31st 2011, 12:26 PM
  4. Elimination of arbitrary constants
    Posted in the Differential Equations Forum
    Replies: 8
    Last Post: September 27th 2010, 06:06 AM
  5. Eliminating the arbitrary constants
    Posted in the Calculus Forum
    Replies: 0
    Last Post: February 4th 2009, 06:17 PM

Search Tags


/mathhelpforum @mathhelpforum