find the Laplace transform of f (t). f(t)=t^2 \cos 2t

remolatg 2021-09-23 Answered
find the Laplace transform of f (t).
\(\displaystyle{f{{\left({t}\right)}}}={t}^{{2}}{\cos{{2}}}{t}\)

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

Elberte
Answered 2021-09-24 Author has 26945 answers
The answer is given below
image
Not exactly what you’re looking for?
Ask My Question
32
 

Expert Community at Your Service

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

Relevant Questions

asked 2021-09-13
find the Laplace transform of f (t)
\(\displaystyle{f{{\left({t}\right)}}}={t}{e}^{{{2}{t}}}{\cos{{3}}}{t}\)
asked 2021-06-06
Use the table of Laplace transform and properties to obtain the Laplace transform of the following functions. Specify which transform pair or property is used and write in the simplest form.
a) \(x(t)=\cos(3t)\)
b)\(y(t)=t \cos(3t)\)
c) \(z(t)=e^{-2t}\left[t \cos (3t)\right]\)
d) \(x(t)=3 \cos(2t)+5 \sin(8t)\)
e) \(y(t)=t^3+3t^2\)
f) \(z(t)=t^4e^{-2t}\)
asked 2021-01-05

Find the Laplace transform for
\(\displaystyle f{{\left({t}\right)}}={2}{u}{\left({t}-{3}\right)}{{\cos}^{2}{2}}{t}-{6}{e}^{{{2}{t}+{7}}}\delta{\left({t}+{3}\right)}\)

asked 2021-09-03

Solve the following differential equation by the laplace transform method
\(\displaystyle{6}{y}^{{{\left({4}\right)}}}+{7}{y}{'''}+{21}{y}\text{}{28}{y}'-{12}{y}={t}{\left({\cos{{\left({2}{t}\right)}}}+{t}{e}^{{{\frac{{-{3}{t}}}{{{2}}}}}}\right)}\)
\(y(0)=0 , y'(0)=1 , y"(0)=0 , y'''(0)=-1\)

asked 2021-12-11
I'm having trouble with the laplace transform: \(\displaystyle{L}{\left\lbrace\sqrt{{{\frac{{{t}}}{{\pi}}}}}{\cos{{\left({2}{t}\right)}}}\right\rbrace}\)
The problem gives me the transform identity \(\displaystyle{L}{\left\lbrace{\frac{{{\cos{{\left({2}{t}\right)}}}}}{{\sqrt{{\pi{t}}}}}}\right\rbrace}={\frac{{{e}^{{-{\frac{{{2}}}{{{s}}}}}}}}{{\sqrt{{s}}}}}\) but i'm not sure/confused as to why that would help me
asked 2021-09-15
Find laplace transform of the following functions
\(\displaystyle{f{{\left({t}\right)}}}={t}{\sin{{h}}}{\left({2}{t}\right)}\)
asked 2021-09-16
Find the laplace transform of this function
\(\displaystyle{f{{\left({t}\right)}}}={e}^{{-{2}{t}}}{\sin{{3}}}{t}{\sin{{t}}}\)
...