CUET Mathematics - The solution of the differential equation dy/dx = sqrt(x)x is | PYQs + Solutions

CUET Mathematics 2025 30 May Shift 2

Calculus

Easy

common

$\sqrt{x} + \sqrt{y} = C$ ; C is an arbitrary constant

$\sqrt{x} - \sqrt{y} = C$ ; C is an arbitrary constant

$\sqrt{\frac{y}{x}} + C = 0$ ; C is arbitrary constant

$\sqrt{\frac{x}{y}} + C = 0$ ; C is an arbitrary constant

✅ Correct Option: 2

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For the differential equation $y\frac{dx}{dx} - (x + 3y^2)dy = 0$ , which of the following statements are true?

(A) It is a linear differential equation

(B) It is a homogenous differential equation

(D) If $y(0) = 1$ , then its particular solution is $x = 3y^2 - 1$

Choose the correct answer from the options given below:

CUET Mathematics 2025 30 May Shift 2 PYQs