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

Question

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

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

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

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

AfterBoards · Accepted Answer

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

List - I (Differential Equation)	List - II (Integrating factor)
(A) $\frac{dy}{dx} + 3y = e^{-2x}$	(I) $\frac{1}{x}$
(B) $x\frac{dy}{dx} + y = 3x^2$	(II) $e^{-x}$
(C) $x\frac{dy}{dx} - y = 3x^2$	(III) $x$
(D) $\frac{dy}{dx} - y = x$	(IV) $e^{3x}$

List-I	List-II
(A) The degree of the differential equation $\left(\frac{d^2y}{dx^2}\right)^2 + \left(\frac{dy}{dx}\right)^2 = x\sin\left(\frac{dy}{dx}\right)$	(I) 4
(B) The degree of differential equation $\frac{d^2y}{dx^2} + \left(\frac{dy}{dx}\right)^{1/4} + x^{1/5} = 0$	(II) 1
(C) The degree of differential equation $\frac{d^2y}{dx^2} + \left(\frac{dy}{dx}\right)^3 + 6y^5 = 0$	(III) Not defined
(D) The degree of differential equation $1 + \left(\frac{dy}{dx}\right)^4 = 7\left(\frac{d^2y}{dx^2}\right)^3$	(IV) 3

CUET Mathematics 2022 4 Aug Shift 1 PYQs

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