Laplace Transform: Solving Hi Everyone - Help Needed

Click For Summary
SUMMARY

The discussion centers on the application of the Laplace Transform, specifically addressing the transformation of the function e^{t+1}. The correct transformation is established as e/(s-1) rather than the incorrect e^s/(s-1). Participants clarify the steps involved in the transformation process, emphasizing the importance of accurately applying the properties of the Laplace Transform.

PREREQUISITES
  • Understanding of Laplace Transform fundamentals
  • Familiarity with exponential functions in calculus
  • Knowledge of complex variable theory
  • Ability to interpret mathematical notation
NEXT STEPS
  • Study the properties of the Laplace Transform in detail
  • Learn about the transformation of exponential functions
  • Explore common mistakes in Laplace Transform applications
  • Practice solving differential equations using Laplace Transforms
USEFUL FOR

Students of engineering, mathematics, and physics, as well as professionals working with differential equations and control systems.

hedipaldi
Messages
209
Reaction score
0
Hi everybody,
can somewone tell me where am i wrong in this solution?(attached here)
thank's
 

Attachments

  • 001.jpg
    001.jpg
    23.5 KB · Views: 403
Physics news on Phys.org
hedipaldi said:
Hi everybody,
can somewone tell me where am i wrong in this solution?(attached here)
thank's

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

RGV
 
thank's a lot
 

Similar threads

Laplace transform of cosine squared function
  • · Replies 1 ·
Replies
1
Views
1K
Laplace transforms for which value of s?
  • · Replies 2 ·
Replies
2
Views
2K
What is the Inverse Laplace Transform of e^(-sx^2/2)?
  • · Replies 10 ·
Replies
10
Views
3K
Does the Laplace Transform of e^(at)/t Exist?
  • · Replies 4 ·
Replies
4
Views
3K
Laplace transform of an ODE with a non-smooth forcing function
  • · Replies 2 ·
Replies
2
Views
2K
Mellin transform of Dirac delta function ##\delta(t-a)##
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad What is the most impactful way of introducing Laplace transforms?
  • · Replies 6 ·
Replies
6
Views
1K
Inverse Laplace transform for 1/(350+s) * X(s)
  • · Replies 1 ·
Replies
1
Views
2K
A tricky inverse Laplace transform
  • · Replies 8 ·
Replies
8
Views
3K
Are these two inverse Laplace transform solutions equivalent?
  • · Replies 2 ·
Replies
2
Views
2K