First order DE

  • Thread starter Eastonc2
  • Start date
  • #1
20
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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?
 

Answers and Replies

  • #2
20
0
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
 

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