Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Lleft{e^{3t}sin(4t)-t^{4}+e^{t}right}

remolatg 2021-02-08 Answered
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform.
L{e3tsin(4t)t4+et}
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

Yusuf Keller
Answered 2021-02-09 Author has 90 answers

Step 1
L{e3tsin(4t)t4+et}
=L{e3tsin(4t)}L{t4}+L{et}      1)
we know that L{tn}=n!sn+1L{eat}=1sa
L{sin(at)}=as2+a2
L{sin(4t)}=4s2+16:
by first shifting L{eatsin(at)}=b(sa)2+b2
L{e3tsin(4t)}=4(s3)2+16,
L{t4}=4!s4+1=24s5
L{et}=1s1
Step 2
Then 1) will becomes as 
L{e3tsin(t)t4+et}=4(s3)2+1624s5+1s1

Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2022-01-14 Author has 2064 answers

Expert Community at Your Service

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