Second order differential equation

Mugged
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Hi, i need help solving this equation:

y'' + 4y' + 4y = 0

any help is appreciated!
 
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Mugged said:
Hi, i need help solving this equation:

y'' + 4y' + 4y = 0

any help is appreciated!

What attempt have you made?

Here is a hint: For a 2nd order DE with constant coefficients, try using y=emx as a trial solution.
 

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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