Question #296089

Find the inverse Laplace of {2s+5/s^2+25}?

A) 2Sin5t+Cos5t

B) Cos5t-2Sin5t

C) 2Cos5t+Sin5t

D) 2Cos5t-Sin5t

1
Expert's answer
2022-02-11T10:11:45-0500

Let us find the inverse Laplace of 2s+5s2+25=2ss2+25+5s2+25.\frac{2s+5}{s^2+25}=2\cdot\frac{s}{s^2+25}+\frac{5}{s^2+25}. Taking into account that \frac{s}{s^2+b^2}\to\cos (bt),\ and bs2+b2sin(bt),\frac{b}{s^2+b^2}\to\sin (bt), we conclude that the inverse Laplace of 2s+5s2+25\frac{2s+5}{s^2+25} is

2cos(5t)+sin(5t).2\cos(5t)+\sin(5t).


Answer: C)


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS