CUET Mathematics - The general solution of the differential equation dy/dx = e^ax+by is: (Here C is an arbitrary constant) | PYQs + Solutions

CUET Mathematics 2025 19 May Shift 1

Calculus

Medium

common

$be^{-by} + ae^{ax} = C$

$-be^{-by} + ae^{ax} = C$

$ae^{-by} + be^{ax} = C$

$e^{ax} + e^{by} = C$

✅ Correct Option: 3

Related questions:

3 June Shift 2

Match List-I with List-II

List-I	List-II
(A) Degree of this differential equation $\frac{d^2y}{dx^2} + 2log_e(\frac{d^2y}{dx^2}) = 0$	(I) 1
(B) Order of this differential equation $p(\frac{dy}{dx})^3 + 3y(\frac{d^2y}{dx^2})^3 = 0$	(II) 4
(C) Degree of $\frac{d^3y}{dx^3} + (\frac{d^2y}{dx})^2 = 0$	(III) not defined
(D) Order of the differential equation $2\frac{d^3y}{dx^3} + (\frac{d^2y}{dx^2})^2 = 0$	(IV) 2

Choose the correct answer from the options given below:

26 May Shift 2

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

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:

CUET Mathematics 2025 19 May Shift 1 PYQs

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