The differential equation whose order and degree are 3 and 2 respectively is Option 1: (d^2y/dx^2)^2 + e^dy/dx = y Option 2: (d^3y/dx^3)^2 + (dy/dx) = 4x Option 3: d/dx(d^2y/dx^2) + ydy/dx = (1+dy/dx)^1/2 Option 4: d^3y/dx^3 + xd^2y/dx^2 + (dy/dx)^2 = x

The answer is 'd/dx(d^2y/dx^2) + ydy/dx = (1+dy/dx)^1/2'. View full solution:

CUET Mathematics - The differential equation whose order and degree are 3 and 2 respectively is | PYQs + Solutions

CUET Mathematics 2026 22nd May Shift 1

Calculus

Medium

common

$\left(\frac{d^2y}{dx^2}\right)^2 + e^{\frac{dy}{dx}} = y$

$\left(\frac{d^3y}{dx^3}\right)^2 + \log\left(\frac{dy}{dx}\right) = 4x$

$\frac{d}{dx}\left(\frac{d^2y}{dx^2}\right) + y\frac{dy}{dx} = \left(1+\frac{dy}{dx}\right)^{1/2}$

$\frac{d^3y}{dx^3} + x\frac{d^2y}{dx^2} + \left(\frac{dy}{dx}\right)^2 = \log x$

✅ Correct Option: 3