Solutions to auxiliary equations

Diosesbueno

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Feb 28, 2015
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Hi could someone help me with this problem,
i have worked some solutions out but I can't arrange it to what is asked.

I have attached some pictures. I was using lagranges method to get to a point where I could separate and integrate. I could rewrite all the math using my iPad but I will try to take a pic of my working out and attach if no one is able to make sense of what I am trying to do.


Given the equation Given

imagepng




Show that two solutions of the auxiliary eqn may be written as:see attached

thanks in advance
 

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