Match the LIST-I with LIST-II | LIST-I | | LIST-II | | |---|---|---|---| | A. | The degree of the differential equation (d^3y/dx^3)^4+(d^2y/dx^2)^5+(dy/dx)+y=0 | I. | 0 | | B. | The order of the differential equation (d^3y/dx^3)^4+(d^2y/dx^2)^5+(dy/dx)+y^2=0 | II. | 4 | | C. | The number of arbitrary constants in the general solution of a differential equation of second order is | III. | 3 | | D. | The number of arbitrary constants in a particular solution of a differential equation of third order is | IV. | 2 | 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-III, C-IV, D-I

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

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

AfterBoards · Accepted Answer

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

List I	List II
A. $\frac{d^2y}{dx^2} + \frac{dy}{dx} = 0$	I. order 3, degree 1
B. $\left(\frac{d^2y}{dx^2}\right)^2 = 0$	II. order 2, degree 2
C. $\frac{d^3y}{dx^3} + \frac{d^2y}{dx^2} + y = 0$	III. order 2, degree 1
D. $\sin\left(\frac{dy}{dx}\right) + 5y = 0$	IV. order 1, degree is not defined

CUET Mathematics 2026 14th May Shift 2 PYQs

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