Converting et*u1(t) to F(s) using Laplace Transform

2RIP
Messages
62
Reaction score
0

Homework Statement


If I had something like, et*u1(t), how would I convert it to F(s)


Homework Equations


ua(t)*f(t-a) = e-asF(s)


The Attempt at a Solution


From the general equation of transformation, I don't have f(t-a) and I don't think I can make one out of the exponential function. I originally don't have e(t-a), so is it okay to apply that general equation or am I supposed to use another one?

Thanks
 
Physics news on Phys.org
Yes, but I also have ua(t)=u1t. And the formula says ua(t)*f(t-a), so wouldn't the value 'a' need to be consistent?
 
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...
Back
Top