Mathematics

Problem

The function

y

satisfies

\dfrac{dy}{dx}=\dfrac{2x}{x^{2}-1}

and

y(2)=0

. Which expression represents

y(x)

for all

x

with

|x|>1

? a)

\dfrac{\ln|x^{2}-1|}{3}

\ln|x^{2}-1|

\ln\left(\dfrac{|x^{2}-1|}{3}\right)

\ln|x^{2}-1|+\ln 3