CUET Mathematics - The general solution of differential equation dy/dx = e^x+y is | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 2

Calculus

Medium

core

$e^x + e^y = C$ , where C is an arbitrary constant

$e^x + e^{-y} = C$ , where C is an arbitrary constant

$e^x - e^{-y} = C$ , where C is an arbitrary constant

$e^x - e^y = C$ , where C is an arbitrary constant

✅ Correct Option: 2

Related questions:

15 May Shift 1

Let $y(x) = a(x + 1) \log(x + 1) + bx + 5$ be the solution of the differential equation $x\frac{dy}{dx} = x + 1_{x}y(0) = 5$ , then the value of $(a + b)$ is:

15 May Shift 2

Consider the curve which is represented by the differential equation $\frac{dy}{dx} = 1 + x + y + xy$ . If it passes through the point (0,0), then which of the following is/are true?

(A) It is a straight line.

(B) It is a parabola.

(D) Its equation is $xy(x + 1) = 0$

Choose the correct answer from the options given below:

22 May Shift 2

Match List-I with List-II

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

Choose the correct answer from the options given below:

CUET Mathematics 2025 13 May Shift 2 PYQs

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