List of top Atmospheric Science Questions on Laplace transforms asked in CUET (PG)

If $a = cos\theta + i \cdot sin\theta$ then $1+a^{2}$ is:
For $6x^2 - 12y^2 = -36$ hyperbola, the lengths of conjugate axis and latus-rectum, respectively, are:

If \(f(t)\) is the inverse Laplace transform of \( F(s) = \frac{s+1+s^{-2}}{s^2-1} \), then \(f(t)\) is

Let \(y(t)\) be the solution of the differential equation \(y''+4y=0\), \(y(0)=1\), \(y'(0)=-6\), then the Laplace transformation \(Y(s)\) of the solution is equal to