CUET Mathematics - Solution of the differential equation y_e y dx - x dy = 0 is (Where c is an arbitrary constant) | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 1

Calculus

Medium

applied

$|y| = |c\log_e(xy)|$

$|x| = |cy|$

$|x| = |c\log_e y|$

$|y| = |c\log_e x|$

✅ Correct Option: 3

Related questions:

3 June Shift 1

Match List-I with List-II

List-I	List-II
Differential Equation	Sum of order and degree
(A) $\frac{d^2y}{dx^2} + \frac{dy}{dx} + 3y = \sin x$	(I) 2
(B) $\frac{dy}{dx} = \sin(x + y)$	(II) 3
(C) $\sqrt{1 + (\frac{dy}{dx})^2} = \frac{d^2y}{dx^2}$	(III) 4
(D) $x^2(\frac{d^2y}{dx^2})^3 + y(\frac{dy}{dx})^4 + y^5 = 0$	(IV) 5

Choose the correct answer from the options given below:

13 May Shift 1

Let the degree and order of the differential equation $2x^3\frac{dy}{dx}-5\left(\frac{d^2y}{dx^2}\right)^2=6\left(\frac{dy}{dx}\right)^3$ be $m$ and $n$ respectively. Then

(A) m = 2

(B) n = 3

(D) mn = 4

Choose the correct answer from the options given below:

14 May Shift 2

The general solution of the differential equation $\frac{dy}{dx} = e^{x-y} + x^2e^{-y}$ is equal to:

CUET Mathematics 2025 3 June Shift 1 PYQs

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