Solve the initial value problem.

left parenthesis tangent left parenthesis y right parenthesis minus $2$ right parenthesis dx plus left parenthesis x secant squared left parenthesis y right parenthesis plus StartFraction $1$ Over y EndFraction right parenthesis dy equals $0,$

$$y$(0)$equals$1$

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Part $1$

The solution is

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$($Type an equation using x and y as the variables. Type an implicit$$ solution.$)$