Match List-I (Parameter) with List-II (Definition)
| List-I (Parameter) | List-II (Definition) |
|---|---|
| A. Mediterranean outflow | IV. Conspicuously warm and saline due to excess evaporation over precipitation. |
| B. Antarctic bottom water | I. Formed by sinking along the ice edge in the Weddell Sea. |
| C. North Atlantic deep water | II. Formed by sinking of water along the ice edge in Greenland. |
| D. Humboldt current | III. Equatorward current driven by winds along Eastern flanks. |
If \(f(t)\) is the inverse Laplace transform of \( F(s) = \frac{s+1+s^{-2}}{s^2-1} \), then \(f(t)\) is
Match LIST-I with LIST-II
LIST-I (Differential Equation)
(A) \(\frac{dy}{dx} = 2x(y-x^2+1)\)
(B) \(x\frac{dy}{dx} + 2(x^2+1)y=6\)
(C) \((x^2+1)\frac{dy}{dx} + 2xy = x \sin x\)
(D) \(x^3\frac{dy}{dx} + 2xy = 2x^2e^{x^2}\)
LIST-II (Integrating Factor)
(I) \(x^2\)
(II) \(e^{-x^2}\)
(III) \(x^2e^x\)
(IV) \(1+x^2\)
Choose the correct answer from the options given below: