The order and the degree of the differential equation d^2y/dx^2 + x(dy/dx)^2 = 2x^2 (d^2y/dx^2) are respectively: Option 1: 2 and 1 Option 2: 2 and 2 Option 3: 2 and 3 Option 4: 2 and not defined

The answer is '2 and not defined'. View full solution:

CUET Mathematics - The order and the degree of the differential equation d^2y/dx^2 + x(dy/dx)^2 = 2x^2 (d^2y/dx^2) are respectively: | PYQs + Solutions

CUET Mathematics 2022 16 July Shift 2

Calculus

Medium

2 and 1

2 and 2

2 and 3

2 and not defined

✅ Correct Option: 4

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:

29 May Shift 2

Match List-I with List-II:

List-I	List-II
Differential Equations	Degree/Order
(A) Degree of the differential equation $\frac{d^3y}{dx^3} + 2 \log x.y = 0$	(I) 3
(B) Order of the differential equation $\frac{d^4y}{dx^4} + \left(\frac{dy}{dx}\right)^4 + xy = 0$	(II) 2
(C) Degree of the differential equation $\left(\frac{d^4y}{dx^4}\right)^2 + \left(\frac{dy}{dx}\right)^3 + x^2y = 0$	(III) 1
(D) Order of the differential equation $\frac{d^3y}{dx^3} + y\left(\frac{dy}{dx}\right)^3 = 0$	(IV) 4

15 May Shift 1

Let $y(x) = a(x + 1) \log(x + 1) + bx + 5$ be the solution of the differential equation e $^\frac{dy}{dx} = x + 1_{;}y(0) = 5$ , then the value of $(a + b)$ is:

CUET Mathematics 2022 16 July Shift 2 PYQs

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