GATE EE 2019 Question Paper (09-Feb-2019) (Shift 2)

The inverse Laplace transform of $H\left(s\right)=\frac{s+3}{s^2+2s+1}$ for t ≥ 0 is

M is a 2 × 2 matrix with eigenvalues 4 and 9. The eigenvalues of M² are

The partial differential equation $\frac{{\partial }^{2}u}{\partial t^2}-c^2\left(\frac{{\partial }^{2}u}{\partial x^2}+\frac{{\partial }^{2}u}{\partial y^2}\right)=0$; where c ≠ 0 is known as

Which one of the following functions is analytic in the region |z| ≤ 1?

The mean-square of a zero-mean random process is $\frac{kT}{C}$, where k is Boltzmann’s constant, T is the absolute temperature, and C is a capacitance. The standard deviation of the random process is