Which of the following are correct? (A) The order of the differential equation (dy/dx)^2+3y^2-5y=0 is 2. (B) The degree of the differential equation xd^2y/dx^2=(3+2(dy/dx)^2)^3 is 3. (C) The differential equation representing the curve y=cx, c being an arbitrary constant is ydx-xdy=0. (D) The general solution of an ordinary differential equation of n^th order contains n independent arbitrary constants. Choose the correct answer from the options given below:

Question

Option 1: (A), (B) and (C) only

Option 2: (A), (C) and (D) only

Option 3: (B), (C) and (D) only

Option 4: (C) and (D) only

AfterBoards · Accepted Answer

The answer is '(C) and (D) only'. View full solution:

	LIST-I Differential Equation		LIST-II Family of curves
A.	$x\,dy - y\,dx = 0$	I.	$x^2 + y^2 = a^2$
B.	$2y\,dx - x\,dy = 0$	II.	$y = ax$
C.	$x\,dx + y\,dy = 0$	III.	$y^2 = 16x + a$
D.	$y\,dy - 8\,dx = 0$	IV.	$x^2 = ay$

CUET Mathematics 2026 29th May Shift 1 PYQs

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