Message Boards Message Boards


Laplace transformation step by step

Posted 7 months ago
3 Replies
1 Total Likes

I’d like to know how or where obtain a step by step transform. One example could be: 1/(1+3s)^n

Thank you in advance and excuse me for my ignorance

3 Replies
In[3]:= LaplaceTransform[(1 + 3 t)^-n, t, s]

Out[3]= 1/3 E^(s/3) ExpIntegralE[n, s/3]

In[4]:= Integrate[(1 + 3 t)^-n Exp[-s t], {t, 0, \[Infinity]}]

Out[4]= ConditionalExpression[1/3 E^(s/3) ExpIntegralE[n, s/3], 
 Re[s] > 0 || (Re[s] >= 0 && Re[n] > 1)]
Posted 7 months ago

Is this a solution step by step? It doesn’t seem to me but I may be wrong. I’d like to obtain the exact procedure to calculate this transform on paper.

Quite possibly W|A simply does not support Show Steps for the Laplace transform.

Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Reply Preview
or Discard

Group Abstract Group Abstract