Solve $3x{y}^{\text{'}}-15y=x^{-5},y(1)=-7$

$($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 $y(1)=-7.$

$y(x)=$

$$Solve $3x{y}^{\text{'}}-15y=x^{-5},y(1)=-7$

$($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 $y(1)=-7.$

$y(x)=$

$$