Find an equation of the curve that satisfies
dydx=48yx7\displaystyle {\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}={48}{y}{x}^{{{7}}}
and whose y\displaystyle {y}-intercept is 5\displaystyle {5}.
y(x)=\displaystyle {y}{\left({x}\right)}=   .