Results 1 to 2 of 2

Math Help - integration coefficient method eproach problem

  1. #1
    MHF Contributor
    Joined
    Nov 2008
    Posts
    1,401

    integration coefficient method eproach problem

    (x+2e^{3y})\frac{dy}{dx}=1

    (x+2e^{3y})dy=dx

    (x+2e$^{3y})dy-dx=0

    X_{y}\neq Y_{x}

    \frac{-X_{y}+Y_{x}}{X}=\frac{1}{-1}=-1

    m'-m=0

    m=ce^{-x}

    (x+2e^{3y})e^{-x}dy-e^{-x}dx=0

    it gets much more complicated from here
    is there any easier approach
    ?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Mar 2010
    Posts
    280
    <br />
(x+2e^{3y})dy -dx=0<br />
    Multiplying both sides by e^(-y)

    <br />
(xe^{-y}+2e^{2y})dy -e^{-y}dx=0<br />

    Now test please

    <br />
X_{y} \; and \; Y_{x}<br />
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: December 11th 2010, 10:16 PM
  2. mixed variable integration coefficient
    Posted in the Differential Equations Forum
    Replies: 6
    Last Post: November 13th 2010, 07:12 AM
  3. integration coefficient
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: October 20th 2010, 06:04 AM
  4. Method of Undet Coefficient on this DE?
    Posted in the Differential Equations Forum
    Replies: 6
    Last Post: March 23rd 2010, 12:55 PM
  5. Replies: 8
    Last Post: March 14th 2009, 06:29 PM

Search Tags


/mathhelpforum @mathhelpforum