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Constructing a differential equation from the solution

  1. Sep 17, 2013 #1
    1. The problem statement, all variables and given/known data

    y = c1e3x+c2xe3x+c3e2xsin(x)+c4e2xcos(x)

    2. Relevant equations

    Differential Equations.

    3. The attempt at a solution

    I have the roots of k=3, k=3, k=2+i, k=2-i.
    Now I am just stuck on how to put the roots together to get the original equation. I am just stuck on the complex number part.
  2. jcsd
  3. Sep 17, 2013 #2


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    Homework Helper

    What equation is it which has the roots 3, 3, 2+i and 2-i? How do you get such equation from the differential equation? How the powers of k and the degree of the derivatives are related?

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