CUET Mathematics - The general solution of the differential equation xdy/dx + 4y = x^3, (x ≠ 0) is: | PYQs + Solutions

CUET Mathematics 2025 15 May Shift 2

Calculus

Medium

core

$y = \frac{x^3}{7} + cx^{-4}$ ; $c$ is arbitrary constant.

$y = \frac{x^3}{7} + cx^{-7}$ ; $c$ is arbitrary constant.

$y = \frac{x^7}{7} + cx^{-4}$ ; $c$ is arbitrary constant.

$y = \frac{x^7}{7} + cx^{-3}$ ; $c$ is arbitrary constant.

✅ Correct Option: 1

Related questions:

3 June Shift 2

Match List-I with List-II

List-I	List-II
(A) Degree of this differential equation $\frac{d^4y}{dx^4} + 2\log_e\left(\frac{d^3y}{dx^3}\right) = 0$	(I) 1
(B) Order of this differential equation $e^{\left(\frac{dy}{dx}\right)^3} + 3y\left(\frac{d^2y}{dx^2}\right)^3 = 0$	(II) 4
(C) Degree of $\frac{d^4y}{dx^4} + \left(\frac{dy}{dx}\right)^2 = 0$	(III) not defined
(D) Order of the differential equation $2\frac{d^4y}{dx^4} + \left(\frac{d^2y}{dx^2}\right)^5 = 0$	(IV) 2

Choose the correct answer from the options given below:

21 May Shift 1

The general solution of the differential equation $x(1 + y^2)dx + y(1 + x^2)dy = 0$ is

21 May Shift 1

The differential equation representing the curve $y = e^{2x}(a + bx)$ , where a, b are arbitrary constants is

CUET Mathematics 2025 15 May Shift 2 PYQs