Find the function $\displaystyle {y}={y}{\left({x}\right)}$ (for $\displaystyle {x}\gt{0}$) which satisfies the separable differential equation

$\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}=\frac{{{5}}}{{{x}{y}^{{2}}}}\ \ \ ,{x}\gt{0}$

with the initial condition $\displaystyle {y}{\left({1}\right)}={6}$.

$\displaystyle {y}=$ Preview Question 6