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First order differential equation

  1. Oct 19, 2011 #1
    I am asked to find the general solution to:

    [itex]\dfrac{dy}{dx}\sin x + y \sec x = \cos^2 x[/itex]

    I don't quite know where I am going with this one; by simply looking at it, I can't seem to see what I would differentiate in order to get the left side and equally, I don't know if dividing through by and finding the integrating factor is a good idea either.

    I need a nudge in the correct direction really! Sorry if I am not spotting anything glaringly obvious. I have just started looking at this topic a few hours ago.

    Thanks very much in advance
     
  2. jcsd
  3. Oct 19, 2011 #2
    By the way, I am still studying my A levels so this isn't really advanced at all ;)
     
  4. Oct 19, 2011 #3

    lurflurf

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    Homework Helper

    You should think of this as being
    (u y)'=u' y+u y'=v'
    easily solved as
    y=v/u
    choosing u and v are what matter.

    hint: What is
    tan'(x)
     
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