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Math Help - differential equation

  1. #1
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    differential equation

    [/IMG]

    Hello guys, need your help!!

    From the example above, they tried to solve that differential equation, I didn't understand why in #2 step they have -x ?

    I mean this (dy)/(y-6) = -x(dx)

    How did they get that -x(dx)?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Pupka View Post
    [/IMG]

    Hello guys, need your help!!

    From the example above, they tried to solve that differential equation, I didn't understand why in #2 step they have -x ?

    I mean this (dy)/(y-6) = -x(dx)

    How did they get that -x(dx)?
    This is using seperation of variables (with a slight abuse of notation) we have:

    dy/dx = x (6-y),

    so:

    dy/(6-y) = x dx

    Now we could work with this but it is a bit more convienient to have the
    coefficient of y in the denominator on the left to be +1, so we multiply
    through by -1 to get:

    dy/(y-6) = -x dx

    RonL
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  3. #3
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    Thanks so much!!!!
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