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anonymous

  • one year ago

Hello! I've another question about a non linear differential equation y' - ((xy)/(1-x^2))y = xy^2 I put z=1/y so y=1/z and y'=-(1/z^2)z' Is that correct? At the end of the substitution I got a linear ODE like this: z' = -x -(x/1-x^2) ... I'm right at this point? Thank you in advance

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  1. IrishBoy123
    • one year ago
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    |dw:1441909766831:dw|

  2. anonymous
    • one year ago
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    yes, is that

  3. IrishBoy123
    • one year ago
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    are you doing this as a Bernoilli, because... |dw:1441916541845:dw|

  4. IrishBoy123
    • one year ago
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    as it stands you can separate this. \[y' = y^2.f(x)\] \[\frac{y}{y^2}' = f(x)\]

  5. anonymous
    • one year ago
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    Ok thank you IrishBoy... I got it! You just separate the variables ok ok :-)

  6. IrishBoy123
    • one year ago
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    cool

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