Find the inverse Laplace transform displaystylefrac{{{4}{s}^{3}-{s}^{2}+{5}{s}+{2}}}{{{s}^{4}}}

Armorikam 2021-02-08 Answered
Find the inverse Laplace transform
4s3s2+5s+2s4
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

averes8
Answered 2021-02-09 Author has 92 answers
Step 1
If A(s)=L{B(t)}, then the inverse transform of A(s) is defined as:
L1[A(s)]=B(t)
Laplace transform of a function f(t) is given by:
L{f(t)}=0estf(t)dt
Step 2
L1(4s3s2+5s+2s4)
=L1(4s1s2+5s3+2s4)
=L1(4s)L1(1s2)+L1(5s3)+L1(2s4)
=4H(t)t+5t22+t33
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

New questions