Integerating factor of (x _e x) dy/dx + y = 2 _e x is : Option 1: x Option 2: e^x Option 3: _e x Option 4: _e (_e x)

The answer is '_e x'. View full solution:

CUET Mathematics - Integerating factor of (x _e x) dy/dx + y = 2 _e x is : | PYQs + Solutions

CUET Mathematics 2023 22 May Shift 3

Calculus

Medium

$x$

$e^x$

$\log_e x$

$\log_e (\log_e x)$

✅ Correct Option: 3

Related questions:

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:

15 June Shift 2

The differential equation whose solution is $Ax^2 + By^2 = 1$ where A and B are arbitrary constant is of :

(A) first order and first degree

(B) second order and first degree

(D) second order

Choose the correct answer from the options given below :

10 Aug Shift 1

The differential equation representing family of curves $y = ae^{mx} + be^{nx}$ , where $a$ and $b$ are arbitrary constants, is