D.E. Boundary Value Problem: Finished the work but it might be wrong

Jeff12341234
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I get a different answer from my classmates. Where did I go wrong?

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First of all, this is not a boundary value problem. This an initial value problem.

Second, the expression you got for y'' is wrong.
 


if y" is wrong, then why does everything else check out? I double-checked it with my Ti-nSpire CAS and with Wolfram Alpha
 


I am sorry, I did not realize that you changed the order of terms in y''. It is correct. And I do not see any error in what follows.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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