# First order DE

1. Dec 12, 2011

### Eastonc2

1. The problem statement, all variables and given/known data
find the general solution of the given DE
dy/dx+(1/x)y=1/x^2

2. Relevant equations
integrating factor (e^(∫P(x)dx)=e^(lnx)

3. 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?

2. Dec 12, 2011

### 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