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Math Help - Differential equation

  1. #1
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    Differential equation

    Find the general solution of the differential equation.
    4+xdy/dx=y^2
    Using partial fractions.
    (1/4 /(y-2) -1/4 /(y+2))dy/dx=1/x
    Integrate b.s
    1/4ln|y-2/y+2|=ln|kx|
    y-2=kx^4(y+2)
    solving for y
    y=2kx^4+2/(1-kx^4)

    The book gives an answer of y=2(1-Kx^4)/(1+kx^4).
    I'll be happy if you can confirm either answer.

    Thanks.
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  2. #2
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    Opalg's Avatar
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    Looks like you're right and the book has the + and the the wrong way round.
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  3. #3
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    Thanks for that!
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