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Reducing to First-Order Equation

  1. Sep 10, 2004 #1
    Can someone double check me please? I'm not sure if it matters that the fourth and first orders are missing.

    Reduce to a first-order equation:

    2y''''' + 12x^3y''' - 2y^7y'' - 8y = 0

    My solution:
    u1' = u2
    u2' = u3
    u3' = u4
    u4' = u5
    u5' = -6x^3(u4) + y^7(u3) + 4(u1)
  2. jcsd
  3. Sep 11, 2004 #2


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    Gold Member

    I think it's correct. First and fourth order do not appear because in original equation don't appear too.
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