L^(-1)(frac(5s+2)(s^2+9))= (a)5 cos t +frac(1)(3) sin t (b)5 cos 9t+frac(1)(3)sin 9t (c)5 cos 3t+frac(2)(3)sin 3t

babeeb0oL

babeeb0oL

Answered question

2021-09-18

L1(5s+2s2+9)=
a)5cost+13sint
b)5cos9t+13sin9t
c)5cos3t+23sin3t
d)5cos3t+3sin2t

Answer & Explanation

Nichole Watt

Nichole Watt

Skilled2021-09-19Added 100 answers

Step 1
Use the standard formula of inverse laplace transform.
Step 2
solution:
L1(5s+2s2+9)
=L1(5ss2+9)+L1(2s2+9)
=5L1(ss2+9)+2L1(1s2+9)
=5cos3t+23sin3t
So, option (c) is correct

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Differential Equations

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?