Solve $x{y}^{\text{'}}=9y-4x,y(1)=-2.$

$($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 $y(1)=-2.$

$y(x)=$

$$