I need to solve the equation:

x (dy/dx) + 5y = 7x where y(1) = 7/2

The correct answer i have recieved is y = 7/6 (x + 2x^-5)

How do i get to this answer?

Ive been given this as a hint:

x (dy/dx) + ay = bx^n can be simplified by multiplying both sides by x^(a-1)

To give x^a (dy/dx) + a(x^(a-1))y = bx^(n+a-1)

Which can be written as d/dx((x^a)y)

But this doesnt seem to help me? Thanks