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:
Match List - I with List - II
| List - I (Register) | List - II (Function) |
|---|---|
| A. Memory Address (MAR) | III. Holds address of the active memory location |
| B. Memory Buffer (MBR) | I. Holds information on its way to and from memory |
| C. Program Control (PC) | IV. Holds address of the next instruction to be executed |
| D. Accumulator (A) | II. Accumulates results and data to be operated upon |