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Exact Linear Second-Order Equations

  1. Oct 9, 2015 #1
  2. jcsd
  3. Oct 9, 2015 #2
    I think that it's just saying that, with that special condition on [itex]a_i(x)[/itex], the differential equation becomes:

    [tex] a_0 y'' -a_0 '' y+a_1 y' + a_1 ' y =0[/tex]

    Which we can write as:

    [tex] \frac{d}{dx}(a_0 y' -a_0' y) + \frac{d}{dx} (a_1 y) = 0 [/tex]

    So with that very useful condition we can write it as a total derivative and then integrate up to a first order problem.
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