CUET Mathematics - If the slope of the tangent to the curve y = y(x) at any point (x, y) is 2x/y^2 and the curve passes through the point (1/3, 1), then equation of curve is | PYQs + Solutions

CUET Mathematics 2025 19 May Shift 1

Calculus

Medium

applied

$y^2 = 3x^3$

$y^3 = 3x^2$

$y^4 = 3x^2$

$y = 3x^2$

✅ Correct Option: 2

Related questions:

13 May Shift 1

Match List-I with List-II

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

Choose the correct answer from the options given below:

21 May Shift 1

The number of arbitrary constants in the general solution of a differential equation with degree 1 and order 3, is

3 June Shift 1

If m and n are respectively the order and degree of the differential equation $(\frac{d^2y}{dx^2})^{2} + (\frac{dy}{dx})^3 + y= 4x$ , then the value of $m + n$ is:

CUET Mathematics 2025 19 May Shift 1 PYQs

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