Match the LIST-I with LIST-II | | LIST-I (Differential Equation) | | LIST-II (Order and degree) | |---|---|---|---| | A. | (dy/dx) + d^2y/dx^2 = 0 | I. | Order : 3 and degree : not defined | | B. | d^3y/dx^3 + y^2 + e^dy/dx = 4 | II. | Order : 2 and degree : 2 | | C. | d/dx(dy/dx)^2 + dy/dx = sqrt(x) | III. | Order : 2 and degree : not defined | | D. | (1+(dy/dx)^2)^3/2 = d^2y/dx^2 | IV. | Order : 2 and degree : 1 | Choose the correct answer from the options given below:

Question

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

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

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

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

AfterBoards · Accepted Answer

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

List-I	List-II
Differential equation	Integrating factor
(A) $x\frac{dy}{dx} - y = 2x^2$	(I) $e^{-y}$
(B) $\frac{dy}{dx} + \frac{y}{x} = 2x$	(II) $\frac{1}{x}$
(C) $x\frac{dy}{dx} + 2y = x^2logx$	(III) $x$
(D) $\frac{dx}{dy} - x = y$	(IV) $x^2$

CUET Mathematics 2026 14th May Shift 2 PYQs

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