Laplace Transform: Solving Hi Everyone - Help Needed

hedipaldi
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Hi everybody,
can somewone tell me where am i wrong in this solution?(attached here)
thank's
 

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hedipaldi said:
Hi everybody,
can somewone tell me where am i wrong in this solution?(attached here)
thank's

Well, if e^t \longrightarrow 1/(s-1), then e^{t+1} \longrightarrow e/(s-1), not e^s /(s-1).

RGV
 
thank's a lot
 
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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