Use the method for solving homogeneous equations to solve the following differential equation.

StartFraction dy Over dx EndFraction equals StartFraction y left parenthesis ln left parenthesis $8$ y right parenthesis minus ln left parenthesis $8$ x right parenthesis plus $5$ right parenthesis Over $5$ x EndFraction

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Part $1$

Ignoring lost$$ solutions, if$$ any, an implicit solution in the form

$$F$($x$,$y$)$equalsC

is

enter your response hereequals$$C$,$

where C is an arbitrary constant.

$($Type an expression using x and y as the variables. Use parentheses to clearly denote the argument of each$$ function.$)$