Register

GATE Mechanical 2023 | Question: 26

• edited by
0 votes
0 votes

Which one of the options given is the inverse Laplace transform of $\frac{1}{s^3-S} ?$
$u(t)$ denotes the unit-step function.

  1. $\left(-1+\frac{1}{2} e^{-t}+\frac{1}{2} e^t\right) u(t)$
  2. $\left(\frac{1}{3} e^{-t}-e^t\right) u(t)$
  3. $\left(-1+\frac{1}{2} e^{-(t-1)}+\frac{1}{2} e^{(t-1)}\right) u(t-1)$
  4. $\left(-1-\frac{1}{2} e^{-(t-1)}-\frac{1}{2} e^{(t-1)}\right) u(t-1)$
• edited by

Please log in or register to answer this question.

← PreviousNext →
← Previous in categoryNext in category →
Answer:

Related questions

1 answers
0 votes
admin asked May 21, 2023
GATE Mechanical 2023 | Question: 1
A machine produces a defective component with a probability of $0.015$. The number of defective components in a packed box containing $200$ components produced by the machine follows a Poisson distribution. The mean and the variance of the distribution are $3$ ... $\sqrt{3}$, respectively $0.015$ and $0.015$, respectively $3$ and $9$, respectively
A machine produces a defective component with a probability of $0.015$. The number of defective components in a packed box containing $200$ components produced by the mac...
0 answers
0 votes
admin asked May 21, 2023
GATE Mechanical 2023 | Question: 2
The figure shows the plot of a function over the interval $[-4,4]$. Which one of the options given $\text{CORRECTLY}$ identifies the function? $|2-x|$ $|2-| x||$ $|2+| x||$ $2-|x|$
The figure shows the plot of a function over the interval $[-4,4]$. Which one of the options given $\text{CORRECTLY}$$ identifies the function?$|2-x|$$|2-| x||$$|2+| x||$...
Voting & Accepting an answer helps improve the community
Link Copied!