The sum of the order and degree of the differential equation: (x + dy/dx)^2 = dy/dx + 1 is Option 1: 1 Option 2: 3 Option 3: 2 Option 4: 4

The answer is '3'. View full solution:

CUET Mathematics - The sum of the order and degree of the differential equation: (x + dy/dx)^2 = dy/dx + 1 is | PYQs + Solutions

CUET Mathematics 2026 19th May Shift 1

Calculus

Easy

core

✅ Correct Option: 2

Related questions:

29th May Shift 2

In reference to the differential equation : $y''+y=(e)^{y'}$ , which of the following statements are correct ?

A. The order of the differential equation is 1.

B. The degree of the differential equation is 1.

C. The order of the differential equation is 2.

D. The degree of the differential equation is not defined.

Choose the correct answer from the options given below:

30th May Shift 2

Match List-I with List-II

List-I	List-II
Curve $y=f(x)$ (where C is an arbitrary constant)	The curve $y=f(x)$ satisfies the differential equation
(A) $y = \log x + C$	(I) $x\frac{dy}{dx} - y = 0$
(B) $y = e^x + C$	(II) $x\frac{dy}{dx} - 1 = 0$
(C) $y = cx$	(III) $x^2\frac{dy}{dx} + 1 = 0$
(D) $y = \frac{1}{x} + C$	(IV) $\frac{d^2y}{dx^2} - \frac{dy}{dx} = 0$

Choose the correct answer from the options given below:

16 May Shift 1

The particular solution of the differential equation x(1 + y²)dx - y(1 + x²)dy = 0, y(0) = 1, is: