Question

Match List-I with List-II:

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

Answer 1

Answer: (B)

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

Answer 2

For (A) $xdy - (y + 2x^{-2})dx = 0$: The integrating factor here depends on $\frac{1}{x}$. Match: (A) → (I).

For (B) $(2x^2 - 3y)dx = xdy$: The integrating factor here depends on $x^3$. Match: (B) → (IV).

For (C) $(2y + 3x^2)dx + xdy = 0$: The integrating factor here is proportional to $x^2$. Match: (C) → (III).

For (D) $2xdy + (3x^3 + 2y)dx = 0$: The integrating factor is proportional to $x$. Match: (D) → (II).

$(A) – (I), (B) – (IV), (C) – (III), (D) – (II)$.