Constructing a differential equation from the solution

  • Thread starter Baumer8993
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  • #1
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Homework Statement



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

Homework Equations



Differential Equations.

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.
 

Answers and Replies

  • #2
ehild
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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?

ehild
 

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