CUET Mathematics - The differential equation representing the family of curves y = Ax + B/x, x ≠ 0 where A and B are arbitrary constants, is given by | PYQs + Solutions

CUET Mathematics 2025 30 May Shift 1

Calculus

Medium

applied

$x^2\frac{d^2y}{dx^2} + x\frac{dy}{dx} + y = 0$

$Bx^2\frac{d^2y}{dx^2} - x\frac{dy}{dx} - y = 0$

$x^2\frac{d^2y}{dx^2} + 2x\frac{dy}{dx} + y = 0$

$x^2\frac{d^2y}{dx^2} + x\frac{dy}{dx} - y = 0$

✅ Correct Option: 4

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Which of the following are first order linear differential equations?

(A) $\frac{dx}{dy} + P_1(y)x = Q_1(y)$ : $P_1(y)$ and $Q_1(y)$ are functions of y or constant functions

(B) $\frac{dy}{dx} + P_2(x)y = Q_2(x)$ : $P_2(x)$ and $Q_2(x)$ are functions of x or constant functions

(D) $(1 + x^2)\frac{dy}{dx} - 2xy = x^2 + 3$

Choose the correct answer from the options given below:

CUET Mathematics 2025 30 May Shift 1 PYQs