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