CUET Mathematics - The number of arbitrary constants in the general solution of a differential equation with degree 1 and order 3, is | PYQs + Solutions

CUET Mathematics 2025 21 May Shift 1

Calculus

Easy

common

✅ Correct Option: 3

Related questions:

30 May Shift 2

The general solution of the differential equation $x\left(\frac{dy}{dx}\right) = y + x an\left(\frac{y}{x}\right)$ is

3 June Shift 1

If m and n are respectively the order and degree of the differential equation $(y^2\frac{d^2y}{dx^2})^{3/4} + (\frac{dy}{dx})^4 = 0$ , then the value of $m + n$ is:

15 May Shift 2

Match List-I with List-II

List-I	List-II
Differential equation	Order and degree
(A) $(y''')^3 + (y')^4 - 6 = (y''')^2$	(I) Order = 1, Degree = 2
(B) $\sqrt{(y')^2 + 5} = y''$	(II) Order = 2, Degree = 3
(C) $(y')^2 = (2 + y'')^{3/2}$	(III) Order = 2, Degree = 2
(D) $y = xy' + \sqrt{a^2(y')^2 + b^2}$	(IV) Order = 3, Degree = 2

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CUET Mathematics 2025 21 May Shift 1 PYQs

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