Match List-I with List-II List-I List-II (A) $\left[1+\left(\frac{dy}{dx}\right)^2\right]=\left(\frac{d^2y}{dx^2}\right)^2$ I. order =2, degree = 2 (B) $\frac{d^3y}{dx^3}-3\frac{d^2y}{dx^2}+2\left(\frac{dy}{dx}\right)^4=y^4$ II. order = 3, degree = 2 (C) $\left(1+\frac{dy}{dx}\right)^3=\left(\frac{d^3y}{dx^3}\right)^2$ III. order = 2, degree = 1 (D) $\left[1+\left(\frac{dy}{dx}\right)^2\right]^2=\frac{d^2y}{dx^2}$ IV. order = 3, degree = 1 Choose the correct answer from the options given below :

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

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

The correct answer is Option (1) → (A)-(I), (B)-(IV), (C)-(II), (D)-(III) (A) order 2, degree 2 (I) (B) order 3, degree 1 (IV) (C) order 3, degree 2 (II) (D) order 2, degree 1 (III)