D.E. Boundary Value Problem: Finished the work, seem to get wrong ans

Jeff12341234
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I get what you have until you say "solve sys of eq for C1 & C2" but do NOT get the values for C1 and C2 that you do. Unfortunately, you don't show how you solved the equations.
 
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There's the work. In addition, my Ti-nSpire CAS also solves it and gets that answer.
 

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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