In the context of differential equation Match List I with List II | LIST I | LIST II | |---|---| | A. dy/dx = 1+y^2/1+x^2 | I. Not a differential equation | | B. x^2 dy/dx = x^2 - 2y^2 + xy | II. Linear first order | | C. x + y = (x+y) | III. Variable separable | | D. (x+y)dy/dx = 1 | IV. Homogenous | Choose the correct answer from the options given below:

Question

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

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

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

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

AfterBoards · Accepted Answer

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

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 2023 23 May Shift 3 PYQs

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