How to go about this question solving differential equations

sozener1
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a) when I put dw/dt = 0 I get something like e^(b/a) is this correct?
 

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sozener1 said:
from the attachment

a) when I put dw/dt = 0 I get something like e^(b/a) is this correct?

Do not post thumbnails; they are unreadable on some media. Just type out the problem. (See the 'pinned' post 'Guidelines for students and helpers', by Vela, which explains the reasons behind this standard.)
 

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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