The general solution of the differential equation dy/dx + y x = 2 x is (Where C is an arbitrary constant) Option 1: (y+ x) x = C Option 2: (y+ x) x = C Option 3: (y- x) x = C Option 4: (y- x) x = C

The answer is '(y- x) x = C'. View full solution:

CUET Mathematics - The general solution of the differential equation dy/dx + y x = 2 x is (Where C is an arbitrary constant) | PYQs + Solutions

CUET Mathematics 2026 19th May Shift 1

Calculus

Medium

core

$(y+\sin x)\sin x = C$

$(y+\cos x)\sin x = C$

$(y-\sin x)\sin x = C$

$(y-\cos x)\sin x = C$

✅ Correct Option: 3

Related questions:

19th May Shift 2

Which of the following statements are TRUE?

A. Order of the differential equation is the order of highest differential appearing in the differential equation.

B. Degree of a differential equation is a real number.

C. Order of a differential equation is whole number.

D. Degree of a differential equation is the degree of the highest order derivative, when differential coefficients are free from radicals and fractions.

Choose the correct answer from the options given below:

19th May Shift 2

The general solution of the given differential equation $dy + (2y - e^{-2x})dx = 0$ , is:

[where c is an arbitrary constant]

26th May Shift 2

Match the LIST-I with LIST-II

	LIST-I Differential equation		LIST-II Order and Degree
A.	$\left(\dfrac{dy}{dx}\right)^2 + 3y\left(\dfrac{d^2y}{dx^2}\right) = 0$	I.	$1,1$
B.	$\sqrt{1-\left(\dfrac{dy}{dx}\right)^2} = a\left(\dfrac{d^2y}{dx^2}\right)^{1/3}$	II.	$1,2$
C.	$y = \dfrac{dy}{dx} + \dfrac{5}{(dy/dx)}$	III.	$2,1$
D.	$\sqrt{1-y^2}\,dx + \sqrt{1-x^2}\,dy = 0$	IV.	$2,2$

Choose the correct answer from the options given below:

CUET Mathematics 2026 19th May Shift 1 PYQs

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