Simple Laplace Transform Question (Differential Equations Class)

kingneptune11
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Homework Statement



Laplace Transform teat

Homework Equations





The Attempt at a Solution



http://img521.imageshack.us/img521/6449/homeworkhelp.jpg

Not sure where I am going wrong. I feel like I did integration by parts incorrectly, because the anser I have boxed is not the correct answer. Please help me? :smile:
 
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You missed the st in the exponent of the laplace's kernel
 

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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