Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral before transforming. (Write your answer as a function of s.) Lleft{t^2 cdot te^tright}

Efan Halliday 2020-12-05 Answered
Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral before transforming. (Write your answer as a function of s.)
L{t2tet}
You can still ask an expert for help

Want to know more about Laplace transform?

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Mayme
Answered 2020-12-06 Author has 103 answers
Step 1
Consider the provided question,
We have to find L{t2tet}
We have to use the convolution theorem:
L{f(t)g(t)}=L{f(t)}L{g(t)}
Step 2
Now, the given Laplace transform is find as,
L{t2tet}=L{t2}L{tet}
=2s31(s1)2
(L{tn}=n!(sn+1),(L{tkf(t)=(1)kdkdsk(L(f(t)))})
=2s3(s1)2
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more