Solve $3x{y}^{\text{'}}-6y=x^{-9},y(1)=-5.$

$($a$)$ Identify the integrating factor, $(x).$

$(x)=$

$q,$

$($b$)$ Find the general solution.

$y(x)=$

Note: Use C for the arbitrary constant.

$($c$)$ Solve the initial value problem $y(1)=-5.$

$y(x)=$

$$