Engineering Mathematics
Linear Algebra
Marks 1Marks 2
Vector Calculus
Marks 1Marks 2
Probability and Statistics
Marks 1Marks 2
Differential Equations
Marks 1Marks 2
Complex Variable
Marks 1Marks 2
Transform Theory
Marks 1Marks 2
Numerical Methods
Marks 1Marks 2
1
GATE ME 2023
MCQ (Single Correct Answer)
+2
-0.66
Which one of the options given is the inverse Laplace transform of $\rm \frac{1}{s^3-s}$? 𝑢(𝑡) denotes the unit-step function.
A
$\rm \left(-1+\frac{1}{2}e^{-t}+\frac{1}{2}e^t\right)u(t)$
B
$\rm \left(\frac{1}{3}e^{-t}-e^t\right)u(t)$
C
$\rm \left(-1+\frac{1}{2}e^{-(t-1)}+\frac{1}{2}e^{(t-1)}\right)u(t-1)$
D
$\rm \left(-1-\frac{1}{2}e^{-(t-1)}-\frac{1}{2}e^{(t-1)}\right)u(t-1)$
Questions Asked from Marks 2
GATE ME Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude