4th Order Homogeneous Linear Differential Equation with Constant Coefficients (Example 2)

This is problem #10 from section 9.2 textbook "Elementary Differential Equations" by William F. Trench:
http://www.opentextbookstore.com/details.php?id=20

License:
https://creativecommons.org/licenses/by/3.0/
Please excuse me calling a square root of 6 "a square root of negative six" and some unfocused parts.

I did not include the formulas for the general solution, please refer to the textbook.

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