Find the general solution of the given differential equation

Find the general solution of the given differential equation.

Divide all over by x :

dy/dx + (5/x)y = x^2 - 1

Integrating factor = e^(integral of 5/x)
IF = e^(5ln(x))
IF = e^(ln(x^5))
IF = x^5

Multiply the DE by x^5 all over :

x^5 * [dy/dx + (5/x)y = x^2 - 1]

d/dx ( y * x^5) = x^7 - x^5

Integrating both sides :

y*x^5 = x^8/8 - x^6/6 + C

y = x^3/8 - x/6 + C/x^5 ---> ANSWER