Solve the given initial$-$value problem.

y$$

dxdy

$$ x $=5$y$2,$x$(7)=1$

x$($y$)=$

$5$y$2$y

Give the largest interval I over which the solution is defined for the given initial condition. $($Enter your answer using interval notation.$)$

I $=$

$(0,$$)$

Nicely done!