CUET Mathematics - The general solution of the differential equation e^x dy + (y e^x + 2x)dx = 0 is | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 2

Calculus

Medium

applied

$x e^y + x^2 = C$ , where C is constant of integration

$x e^y + y^2 = C$ , where C is constant of integration

$y e^x + x^2 = C$ , where C is constant of integration

$y e^y + x^2 = C$ , where C is constant of integration

✅ Correct Option: 3

Related questions:

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The general solution of the differential equation $x(1 + y^2)dx + y(1 + x^2)dy = 0$ is

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The integrating factor of the differential equation $\frac{dy}{dx} = x + xy$ is

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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 13 May Shift 2 PYQs