Step 1: Analyze the climate of the Great Plains of India (Indo-Gangetic Plain).
This region experiences hot summers, cool winters, and a strong monsoon season where most of the rainfall occurs. Winters are generally dry.
Step 2: Decode the Köppen climate classification codes. - A: Tropical climates. Af = Tropical rainforest, Am = Tropical monsoon. - B: Dry (arid and semi-arid) climates. BS = Semi-arid (steppe). - C: Temperate climates. w = dry winter, g = Ganges type (hottest month before the summer monsoon). - Cwg: A temperate climate with dry winters and a hot, Ganges-type summer.
Step 3: Match the climate to the code. The description of a temperate climate with hot summers and a distinct dry season (winter) perfectly matches the Cwg classification. This is the code assigned to the majority of the Indo-Gangetic Plain.
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: