Differential Equations-Eulers Method

jawhnay
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Homework Statement


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Homework Equations

The Attempt at a Solution


I'm having trouble setting up the equation. This is how I set it up, but I'm not sure if it's correct.
T(1)= 100 + 0.1(1)(70-100)

Sorry about the link. It was kind of long and I needed an answer fast so I didn't want to waste time typing the question.
 
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Thats definitely the basic idea. What are the units of 'h' ? (How is 'h' defined?)
 
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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