Results 1 to 2 of 2

Math Help - Rearranging

  1. #1
    Super Member
    Joined
    Sep 2007
    Posts
    528
    Awards
    1

    Rearranging

    What does the rearranging lead to?

    \frac{\partial a}{\partial x} \partial y = \frac{\partial b}{\partial y} \partial x

    Dividing through by \partial x, which would it lead to?

    (1)
    \frac{\partial a}{\partial x^2} \partial y = \frac{\partial b}{\partial y}

    (2)
    \frac{\partial ^2 a}{\partial x^2} \partial y = \frac{\partial b}{\partial y}

    Equation (1) or (2)?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,711
    Thanks
    630
    Hello, Simplicity!

    What does the rearranging lead to?

    . . \displaystyle \frac{\partial a}{\partial x} \partial y \:=\: \frac{\partial b}{\partial y} \partial x

    Dividing through by \partial x, which would it lead to?

    \displaystyle (1)\;\frac{\partial a}{\partial x^2} \partial y \:=\: \frac{\partial b}{\partial y}
    . . . . . . . or
    \displaystyle (2)\;\frac{\partial ^2 a}{\partial x^2} \partial y \:=\: \frac{\partial b}{\partial y}

    We have: . \displaystyle \frac{\partial a}{\partial x}\partial y \;=\;\frac{\partial b}{\partial y}\partial x


    Dividing through by \partial x, we have: . \displaystyle \frac{\partial a}{\partial x}\cdot \frac{\partial y}{\partial x} \;=\;\frac{\partial b}{\partial y}\cdot\frac{\partial x}{\partial x}

    Then we have: . \displaystyle\frac{\partial a}{\partial x}\cdot\frac{\partial y}{\partial x} \;=\;\frac{\partial b}{\partial y}

    . . which can be written: . \displaystyle \frac{\partial a\partial y}{\partial x^2} \;=\;\frac{\partial b}{\partial y} . . . answer (1)

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. help rearranging this
    Posted in the Algebra Forum
    Replies: 6
    Last Post: October 31st 2010, 11:22 AM
  2. Rearranging help?
    Posted in the Algebra Forum
    Replies: 2
    Last Post: September 30th 2010, 01:59 PM
  3. Rearranging
    Posted in the Algebra Forum
    Replies: 9
    Last Post: July 17th 2008, 12:24 AM
  4. Rearranging
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: June 15th 2008, 11:17 AM
  5. rearranging
    Posted in the Algebra Forum
    Replies: 2
    Last Post: December 17th 2007, 08:51 AM

Search Tags


/mathhelpforum @mathhelpforum