Step 1: Identify the event.
The concept of Mission LiFE (Lifestyle for Environment) was introduced by Indian Prime Minister Narendra Modi.
Step 2: Identify the venue and conference.
This introduction took place at the 2021 United Nations Climate Change Conference, which is also known as COP26.
Step 3: Identify the location and year.
COP26 was held in Glasgow, Scotland, in the year 2021.
Conclusion: The correct combination is COP-26, Glasgow, 2021.
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: