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First order DE

  1. Dec 12, 2011 #1
    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. jcsd
  3. Dec 12, 2011 #2
    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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