CUET Mathematics - The general solution of the differential equation dy/dx = xy + x + y + 1 is | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 2

Calculus

Medium

common

$log_e|y| = x + y + C$ , where C is constant of integration

$log_e|y + 1| = \frac{1}{2}x^2 + x + C$ , where C is constant of integration

$log_e|x + 1| = \frac{1}{2}y^2 + y + C$ , where C is constant of integration

$log_e|x| = \frac{1}{2}y^2 + y + C$ , where C is constant of integration

✅ Correct Option: 2

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The solution of the differential equation $xdy - ydx = 0$ represents

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Consider the differential equation $\frac{dy}{dx} + y \tan x = \sec x$ , then which of the following statements are correct?

(A) It is homogeneous

(B) It has $\sec x$ as its integrating factor

(D) It's degree is not defined

Choose the correct answer from the options given below:

CUET Mathematics 2025 13 May Shift 2 PYQs