Results 1 to 8 of 8

Math Help - Finding the general soln. of a diff equ.

  1. #1
    Newbie
    Joined
    May 2008
    Posts
    22

    Arrow Finding the general soln. of a diff equ.

    Hello Everybody!

    can someone help me out with this question. I am struggling with it so much.

    cos(x)* dy/dx + (sin(x)) * y = 1

    Thanks a lot for your help, i appreciate it.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Mathstud28's Avatar
    Joined
    Mar 2008
    From
    Pennsylvania
    Posts
    3,641
    Quote Originally Posted by kithy View Post
    Hello Everybody!

    can someone help me out with this question. I am struggling with it so much.

    cos(x)* dy/dx + (sin(x)) * y = 1

    Thanks a lot for your help, i appreciate it.
    Did you try \text{Integrating factor}=e^{\int\sin(x)dx}?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    May 2008
    Posts
    22

    integrating factor

    I don't know how to apply the integrating factor
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor Mathstud28's Avatar
    Joined
    Mar 2008
    From
    Pennsylvania
    Posts
    3,641
    Quote Originally Posted by kithy View Post
    I don't know how to apply the integrating factor
    Ok, here are two links to help you through this. If you have any problems just post back and someone here will be happy to help you

    Integrating factor - Wikipedia, the free encyclopedia

    Integrating Factor -- from Wolfram MathWorld
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,663
    Thanks
    298
    Awards
    1
    Quote Originally Posted by kithy View Post
    Hello Everybody!

    can someone help me out with this question. I am struggling with it so much.

    cos(x)* dy/dx + (sin(x)) * y = 1

    Thanks a lot for your help, i appreciate it.
    Quote Originally Posted by Mathstud28 View Post
    Did you try \text{Integrating factor}=e^{\int\sin(x)dx}?
    @Mathstud: Look at your own reference:
    cos(x)~\frac{dy}{dx} + sin(x)~y = 1

    \frac{dy}{dx} + tan(x)~y = 1

    So the integrating factor is
    M(x) = e^{\int tan(x)~dx}

    -Dan
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor Mathstud28's Avatar
    Joined
    Mar 2008
    From
    Pennsylvania
    Posts
    3,641
    Quote Originally Posted by topsquark View Post
    @Mathstud: Look at your own reference:
    cos(x)~\frac{dy}{dx} + sin(x)~y = 1

    \frac{dy}{dx} + tan(x)~y = 1

    So the integrating factor is
    M(x) = e^{\int tan(x)~dx}

    -Dan
    Dang it! I forgot to linearize it, . I am very very sorry Kithy if I caused some confusion.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Super Member wingless's Avatar
    Joined
    Dec 2007
    From
    Istanbul
    Posts
    585
    Quote Originally Posted by topsquark View Post
    @Mathstud: Look at your own reference:
    cos(x)~\frac{dy}{dx} + sin(x)~y = 1

    \frac{dy}{dx} + tan(x)~y = 1

    So the integrating factor is
    M(x) = e^{\int tan(x)~dx}

    -Dan
    Err..

    cos(x)~\frac{dy}{dx} + sin(x)~y = 1

    \frac{dy}{dx} + tan(x)~y = \sec x

    Am I missing something?
    Follow Math Help Forum on Facebook and Google+

  8. #8
    Math Engineering Student
    Krizalid's Avatar
    Joined
    Mar 2007
    From
    Santiago, Chile
    Posts
    3,654
    Thanks
    11
    I think that was just a typo.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: February 13th 2010, 09:25 AM
  2. Finding Roots(Non-Homo Diff Equ)
    Posted in the Calculus Forum
    Replies: 4
    Last Post: December 21st 2008, 03:06 PM
  3. Replies: 1
    Last Post: February 14th 2008, 10:11 AM
  4. Particular soln of Diff EQ
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 11th 2008, 12:55 PM
  5. Replies: 1
    Last Post: November 1st 2006, 07:45 AM

Search Tags


/mathhelpforum @mathhelpforum