The order and degree of the differential equation d^3y/dx^3 + (d^2y/dx^2)^2 + e^dy/dx = 2 is Option 1: Order = 2 ; degree = 2 Option 2: Order = 3 ; degree = 1 Option 3: Order = 3 ; degree is not defined Option 4: Order = 1 ; degree = 3

The answer is 'Order = 3 ; degree is not defined'. View full solution:

CUET Mathematics - The order and degree of the differential equation d^3y/dx^3 + (d^2y/dx^2)^2 + e^dy/dx = 2 is | PYQs + Solutions

CUET Mathematics 2026 26th May Shift 2

Calculus

Easy

applied

Order = 2 ; degree = 2

Order = 3 ; degree = 1

Order = 3 ; degree is not defined

Order = 1 ; degree = 3

✅ Correct Option: 3

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Match List-I with List-II

List-I (Differential equation)	List-II (Integrating factor)
(A) $\frac{dy}{dx} + 2y = x$	(I) $e^x$
(B) $\frac{dy}{dx} + \left(\frac{2}{x}\right)y = x^2$	(II) $e^{2x}$
(C) $\frac{dy}{dx} - \left(\frac{2}{x}\right)y = \sin x$	(III) $\frac{1}{x^2}$
(D) $\frac{dy}{dx} + y = e^{-x}$	(IV) $x^2$

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