Find Solution of DE: dy/dx+(1/x)y=1/x^2

[Eastonc2]

Homework Statement

find the general solution of the given DE
dy/dx+(1/x)y=1/x^2

Homework Equations

integrating factor (e^(∫P(x)dx)=e^(lnx)

The Attempt at a Solution

so i put my integrating factor into the equation, and get:

e^(lnx)(dy/dx)+(e^(lnx)/x)y=e^(lnx)/x^2
and can't progress any further. of course, I can integrate the left side of the equation, which leaves me with e^(lnx)y, but the right side is really throwing me for a loop. are there any suggestions out there?

 

[Eastonc2]

ok, so it must be getting a little too late for my brain. e^lnx is...x
so this was a major waste of time/space