CUET Mathematics - The number of arbitrary constants in the particular solution of a differential equation of order 4 and degree 3 is | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 2

Calculus

Easy

core

✅ Correct Option: 1

Related questions:

CUET Mathematics 2024 Slot 1

Choose the correct answer from the options given below:

List-I	List-II
(A) Integrating factor of $x \, dy - (y + 2x^2) \, dx = 0$	(I) $\frac{1}{x}$
(B) Integrating factor of $(2x^2 - 3y) \, dx = x \, dy$	(II) $x$
(C) Integrating factor of $(2y + 3x^2) \, dx + x \, dy = 0$	(III) $x^2$
(D) Integrating factor of $2x \, dy + (3x^3 + 2y) \, dx = 0$	(IV) $x^3$

15 May Shift 2

Consider the curve which is represented by the differential equation $\frac{dy}{dx} = 1 + x + y + xy$ . If it passes through the point (0,0), then which of the following is/are true?

(A) It is a straight line.

(B) It is a parabola.

(D) Its equation is $xy(x + 1) = 0$

Choose the correct answer from the options given below:

19 May Shift 1

The general solution of the differential equation $\frac{dy}{dx} = e^{ax+by}$ is: (Here C is an arbitrary constant)

CUET Mathematics 2025 3 June Shift 2 PYQs

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