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Bernoulli Equation question... watch

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    ok guys got this question. Find the general solution of the bernoulli equation...

    dy/dt + 1y/(1-t^2) = (1+t^2)(y^3)

    have got the answer to be this reallllllllllly long thing...

    y = sqrt[(1-t) / -4(1+t)^3 + 2/3(1+t)^4 + 12(1+t)^2 - 8(1+t)ln(1+t) + C)]

    but this answer looks wayyyyyyyy too long. although i think that its rite can someone confirm it for me please? and also if therz a simpler way of expressing it to let me no, coz apart from just taking out (1+t) on the bottom part of the answer i dont hav a clue? ...

    Any help would be great!

    thanks

    D
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    Anyone able to help????
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    anyone able to help???
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    it seems to be just plug n play:
    http://mathworld.wolfram.com/Bernoul...lEquation.html

    (I'm, however, not familiar with BDEs).
 
 
 
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Updated: March 1, 2006

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