Match List-I with List-II | List-I | List-II | |---|---| | **Differential Equation** | **Integrating Factor** | | (A) dy/dx + 2xy = 1 | (I) x | | (B) xdy/dx + 2xy = 1 | (II) e^2x | | (C) xdy/dx + y = 1 | (III) x^2 | | (D) xdy/dx + 2y = 2 | (IV) e^x^2 | Choose the correct answer from the options given below: Option 1: (A) - (IV), (B) - (II), (C) - (III), (D) - (I) Option 2: (A) - (IV), (B) - (II), (C) - (I), (D) - (III) Option 3: (A) - (II), (B) - (IV), (C) - (I), (D) - (III) Option 4: (A) - (II), (B) - (IV), (C) - (III), (D) - (I)

The answer is '(A) - (IV), (B) - (II), (C) - (I), (D) - (III)'. View full solution:

Calculus > Differential Equations

Medium

core

Match List-I with List-II | List-I | List-II | |---|---| | Differential Equation | Integrating Factor | | (A) $\frac{dy}{dx} + 2xy = 1$ | (I) $x$ | | (B) $x\frac{dy}{dx} + 2xy = 1$ | (II) $e^{2x}$ | | (C) $x\frac{dy}{dx} + y = 1$ | (III) $x^2$ | | (D) $x\frac{dy}{dx} + 2y = 2$ | (IV) $e^{x^2}$ | Choose the correct answer from the options given below:

(A) - (IV), (B) - (II), (C) - (III), (D) - (I)

(A) - (IV), (B) - (II), (C) - (I), (D) - (III)

(A) - (II), (B) - (IV), (C) - (I), (D) - (III)

(A) - (II), (B) - (IV), (C) - (III), (D) - (I)

✅ Correct Option: 2

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