The integrating factor of the differential equation xdy/dx - y = 2x^2 is : Option 1: x Option 2: 1/x Option 3: e^-x Option 4: e^x

The answer is '1/x'. View full solution:

CUET Mathematics - The integrating factor of the differential equation xdy/dx - y = 2x^2 is : | PYQs + Solutions

CUET Mathematics 2022 23 Aug Shift 1

Calculus

Easy

$x$

$\frac{1}{x}$

$e^{-x}$

$e^x$

✅ Correct Option: 2

Related questions:

13 May Shift 2

The general solution of differential equation $\frac{dy}{dx} = e^{x+y}$ is

16 July Shift 2

The order and the degree of the differential equation $\frac{d^2y}{dx^2} + x\left(\frac{dy}{dx}\right)^2 = 2x^2 \log\left(\frac{d^2y}{dx^2}\right)$ are respectively:

22 May Shift 2

Match List-I with List-II

List-I	List-II
Differential Equation	Order and Degree
(A) $\left(\frac{d^2y}{dx^2}\right)^2 = e^x\left(\frac{dy}{dx}\right)^4 + 1 = 0$	(I) order = 1 and degree = 2
(B) $\left(\frac{dy}{dx}\right)^2 + xy = 0$	(II) order = 2 and degree = 1
(C) $\left(1 + \frac{dy}{dx}\right)^{3/2} = 4\left(\frac{d^2y}{dx^2}\right)^2$	(III) order = 2 and degree = 2
(D) $\sqrt\frac{d^2y}{dx^2} + 1 = \frac{dy}{dx}$	(IV) order = 2 and degree = 4

Choose the correct answer from the options given below:

CUET Mathematics 2022 23 Aug Shift 1 PYQs

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