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to find y any method

bernoulli equation or homogeneous

can you help me @.Sam.

yes then?

the numerator can break it for the denomentor?

Should be dv
\[\int\limits\limits \frac{(2-v)}{1-2v+v^2} dv=\int\limits\limits \frac{1}{x}dx\]

i think you get stuck here though...no way to solve for "v" the integral gives a fraction and a log

i think we can use here synthetic division

my Im right?

http://www.wolframalpha.com/input/?i=integral+%282-v%29%2F%28v%5E2-2v%2B1%29

can you help me to solve and to prove that?

@.sam, already did but you cant go any further just sub in y/x for v

so what is my final answer?

i dunno depends on the instructions...ther is no "y =" answer

coefficients by division?