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Math Help - Can someone explain with steps! Getting this wrong, Seperation of variables

  1. #1
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    Post Can someone explain with steps! Getting this wrong, Seperation of variables

    y^2 (dy/dx) = (x^2)y + x^2

    I need to get to the stage where direct integration can take place. y > -1

    Many thanks acu
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  2. #2
    Member Traveller's Avatar
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    May be this:

    y^2 (dy/dx) = (x^2)y + x^2 = (x^2)( y + 1)


    ((y^2)/( y + 1))(dy/dx) = (x^2)
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  3. #3
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    You will also need to long divide so that you can integrate the LHS.
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