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Thread: dy/dx problem

  1. #1
    Junior Member
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    Sep 2005
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    dy/dx problem

    I am having some trouble with this quesetion.

    Find $\displaystyle dy/dx$ if $\displaystyle x^2y=$e^(x+y)

    What I have is

    $\displaystyle x^2*dy/dx + y*2x=$e^(x+y)$\displaystyle 1+dy/dx$

    $\displaystyle x^2 dy/dx + 2xy = (1+dy/dx)$ e^x+y

    after this, this where I do don't know how to take out the $\displaystyle dy/dx$
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  2. #2
    Junior Member
    Joined
    Nov 2008
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    Quote Originally Posted by killasnake View Post
    I am having some trouble with this quesetion.

    Find $\displaystyle dy/dx$ if $\displaystyle x^2y=$e^(x+y)

    What I have is

    $\displaystyle x^2*dy/dx + y*2x=$e^(x+y)$\displaystyle 1+dy/dx$

    $\displaystyle x^2 dy/dx + 2xy = (1+dy/dx)$ e^x+y

    after this, this where I do don't know how to take out the $\displaystyle dy/dx$
    Move everything around so that dy\dx is on one side by itself.
    Then solve by factoring out the dy/dx and divide.
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