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Thread: separable differential eqn

  1. April 2nd 2008, 03:35 AM #1
    samdmansam
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    separable differential eqn

    show that (xy+y)dx-(xy-x)dy=0 is a seperable differential eqn
    and find a solution that satisfies the condition y(1)=2
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  2. April 2nd 2008, 03:47 AM #2
    mr fantastic
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    Quote Originally Posted by samdmansam View Post
    show that (xy+y)dx-(xy-x)dy=0 is a seperable differential eqn
    and find a solution that satisfies the condition y(1)=2
    y (x + 1) \, dx - x (y - 1) \, dy = 0

    \Rightarrow \frac{x+1}{x} \, dx - \frac{y-1}{y} \, dy = 0

    \int \frac{x+1}{x} \, dx = \int \frac{y-1}{y} \, dy = 0

    and it should be blue sky all the way now.
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