CUET Mathematics - If m and n are respectively order and degree of the differential equation (d^2y/dx^2)^5 + 6*(d^2y/dx^2)^3d^3y/dx^3 + d^3y/dx^3 = x^2+5 then : | PYQs + Solutions

CUET Mathematics 2026 31st May Shift 2

Calculus

Medium

common

m = 3, n = 3

m = 2, n = 3

m = 3, n = 2

m = 3, n = 5

✅ Correct Option: 3

Related questions:

21 May Shift 2

Match List-I with List-II

List-I	List-II
(A) Degree of the differential equation $\frac{d^2y}{dx^2} = e^{dy/dx}$ is	(I) 2
(B) Order of the differential equation $(\frac{dy}{dx})^2 + \frac{d^3y}{dx^3} = 0$ is	(II) not defined
(C) Degree of the differential equation $\frac{d^2y}{dx^2} + (\frac{dy}{dx})^2 - 5x^2 = 0$	(III) 3
(D) If p is the order and q is the degree of the differential equation $\frac{dy}{dx} + 3y = e^x$ , then p + q is	(IV) 1

Choose the correct answer from the options given below:

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If the order and degree of the differential equation $y + \dfrac{dy}{dx} = \int y\,dx$ are m and n respectively, then (m - n) is equal to

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General solution of the differential equation $\dfrac{dy}{dx} = e^{ax+by}$ is: (where C is an arbitrary constant)

CUET Mathematics 2026 31st May Shift 2 PYQs