Laplace transformation of derivatives

John777
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What are the laplace transformations of y"' and y"". Any table I can find only goes up to y". Thanks.
 
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The transform of f^n(t) is

<br /> s^nF(s) - s^{n-1}f(0) - \cdots -f^{(n-1)}(0)<br />
 

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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