The order and degree of the differential equation [(d^2y/dx^2)^2 - 3]^1/3 = 2(dy/dx)^1/4 are Option 1: order = 2, degree = 2 Option 2: order = 2, degree = 4 Option 3: order = 2, degree = 8 Option 4: order = 1, degree = 1

The answer is 'order = 2, degree = 8'. View full solution:

CUET Mathematics - The order and degree of the differential equation [(d^2y/dx^2)^2 - 3]^1/3 = 2(dy/dx)^1/4 are | PYQs + Solutions

CUET Mathematics 2022 30 Aug Shift 1

Calculus

Hard

order = 2, degree = 2

order = 2, degree = 4

order = 2, degree = 8

order = 1, degree = 1

✅ Correct Option: 3

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Match List-I with List-II

List-I	List-II
Differential Equation	Order and degree of differential equation
(A) $\frac{d^2y}{dx^2} + 2\left(\frac{dy}{dx}\right)^2 = e^{\frac{dy}{dx}} + 1$	(I) Order = 1, Degree = 2
(B) $\left(\frac{d^2y}{dx^2}\right)^2 + 4\left(\frac{dy}{dx}\right)^3 = e^y - 1$	(II) Order = 2, Degree = 1
(C) $3\left(\frac{dy}{dx}\right) + 4y + e^y = \frac{dx}{dy}$	(III) Order = 2, Degree = 2
(D) $\frac{d^2y}{dx^2} + 3\left(\frac{dy}{dx}\right) = \left(e^y + \frac{dy}{dx}\right)^2$	(IV) Order = 2, Degree = Not defined

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