Solve $x{y}^{\text{'}}=7y-3x,y(1)=-4.$

$($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 $y(1)=-4.$

$y(x)=$