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# Bernoulli Equation question... watch

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1. 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
2. Anyone able to help????
3. anyone able to help???
4. 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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