Consider the differential equation:

dydx=6x29y22\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}=\frac{{{6}{x}^{{2}}}}{{{9}{y}^{{2}}-{2}}}
y(2)=0\displaystyle {y}{\left({2}\right)}={0}

A) Solve the differential equation. Give you answer as an equation (you don't have to solve for y)

 

B) This solution is only valid on a limited domain. Find that domain.

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