Results 1 to 2 of 2

Math Help - First Order Diffy Q

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    11

    First Order Diffy Q

    Sorry I'm not good with the latex stuff yet, but can someone please solve this equation:

    (2x+4y-2)dx + (-3x-2y+1)dy=0
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,392
    Thanks
    56
    Quote Originally Posted by Jake8054 View Post
    Sorry I'm not good with the latex stuff yet, but can someone please solve this equation:

    (2x+4y-2)dx + (-3x-2y+1)dy=0
    Introduce new variables (r,s) as to eliminate the -2 and 1 in your equation. So if x = r + a and y = s + b ( a and b to be determined) then

     <br />
\left(2(r+a) + 4(s+b) - 2 \right)\,dr + \left(-3(r+a) - 2(s+b) + 1 \right)\,ds =0<br />

    This means solving

     <br />
\begin{array}{c}<br />
2a + 4b = 2,\\<br />
-3a -2b = -1<br />
\end{array}

    Then your ODE becomes

     <br />
\left(2r + 4s \right)\,dr + \left(-3 r - 2 s \right)\,ds =0<br />

    which is homogeneous.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Diffy Q word problem
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: November 5th 2009, 07:53 PM
  2. Diffy Q (Separable Equations)
    Posted in the Advanced Applied Math Forum
    Replies: 2
    Last Post: February 9th 2009, 07:13 AM
  3. Diffy Q
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: January 30th 2009, 08:45 AM
  4. [SOLVED] Particular solution of a diffy eq
    Posted in the Differential Equations Forum
    Replies: 9
    Last Post: January 25th 2009, 10:30 AM
  5. Powers series and diffy q's
    Posted in the Calculus Forum
    Replies: 7
    Last Post: April 17th 2007, 07:42 PM

Search Tags


/mathhelpforum @mathhelpforum