Match List-I with List-II | List-I Differential equation | List-II Order and degree | |---|---| | (A) d^4y/dx^4 + (d^3y/dx^3) = 0 | (I) order = 2, degree = 1 | | (B) (d^2y/dx^2)^2 + dy/dx = 0 | (II) order = 3, degree = 1 | | (C) d^3y/dx^3 + y^2 + dy/dx = 0 | (III) order = 2, degree = 2 | | (D) 3yd^2y/dx^2 + (dy/dx)^4 = 0 | (IV) order = 4, degree not defined | Choose the correct answer from the options given below:

Question

Option 1: (A) - (IV), (B) - (I), (C) - (III), (D) - (II)

Option 2: (A) - (III), (B) - (II), (C) - (I), (D) - (IV)

Option 3: (A) - (IV), (B) - (III), (C) - (II), (D) - (I)

Option 4: (A) - (I), (B) - (II), (C) - (III), (D) - (IV)

AfterBoards · Accepted Answer

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

List-I	List-II
(A) $y + \frac{dy}{dx} = \frac{1}{4}\int y\,dx$	(I) Order 1, Degree 1
(B) $y = \frac{dy}{dx} + \frac{C}{dy/dx}$	(II) Order 2, Degree 2
(C) $(xy^2+x)dx + (y-x^2)dy = 0$	(III) Order 2, Degree 1
(D) $\left[\left\{1+\left(\frac{dy}{dx}\right)^2\right\}^{3/2}/\frac{d^2y}{dx^2}\right] = K$	(IV) Order 1, Degree 2

CUET Mathematics 2026 18th May Shift 1 PYQs

Keyboard Shortcuts