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Thread: First Order Differential Equations

  1. December 9th 2007, 12:12 PM #1
    r_maths
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    First Order Differential Equations

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  2. December 9th 2007, 12:32 PM #2
    Jhevon
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    Quote Originally Posted by r_maths View Post
    this is a separable equation as well

    \frac {dy}{dx} = \frac yx \implies \frac {dy}y = \frac {dx}x ...........multiply both sides by \frac {dx}y
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  3. December 9th 2007, 12:34 PM #3
    r_maths
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    Is dy/y the same as 1/y ?
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  4. December 9th 2007, 12:49 PM #4
    Jhevon
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    Quote Originally Posted by r_maths View Post
    Is dy/y the same as 1/y ?
    what do you mean? no, \frac {dy}y = \frac 1ydy

    then you integrate both sides
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