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Homework Help: Differential Equations Question

  1. Sep 15, 2012 #1
    1. The problem statement, all variables and given/known data
    Match each of the differential equations with a solution from the list below.
    1. 2x^2 * y'' + 3xy' = y
    2. y'' + 12y' + 36y = 0
    3. y'' - 12y' + 36y = 0
    4. y'' + y = 0

    And then the possible solutions A-D

    2. Relevant equations

    3. The attempt at a solution
    This is from a web assignment from a ODE course which just started. We have only cover first order linear, homogenous ODE's and vairable seperable. I have no idea where to start here. Am I just overlooking something? Do I need to work backwards from the solutions? Any help to get me started would be greatly appreciated.
  2. jcsd
  3. Sep 15, 2012 #2


    Staff: Mentor

    If you haven't done anything with 2nd order DEs yet, probably the best course of action is find the 1st and 2nd derivatives of the solutions you are given, and substitute them into each of the four given differential equations.
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