Solve $4x{y}^{\text{'}}-16y=x^{-9},y(1)=-4.$

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

$(x)=$

$$

$$

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

$y(x)=$

$$

$$

Note: Use C for the arbitrary constant.

$($c$)$ Solve the initial value problem $y(1)=-4.$

$y(x)=$

$$