CUET Mathematics - Let y(x) = a(x + 1) (x + 1) + bx + 5 be the solution of the differential equation xdy/dx = x + 1_xy(0) = 5, then the value of (a + b) is: | PYQs + Solutions

CUET Mathematics 2025 15 May Shift 1

Calculus

Medium

applied

-1

✅ Correct Option: 1

Related questions:

14 May Shift 2

General solution of the differential equation $\frac{dy}{dx} = e^{\frac{x}{2}} + xy$ is

2 June Shift 1

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

14 May Shift 2

Match List-I with List-II

List-I	List-II
Differential Equations	Order and degree
(A) $\frac{dy}{dx} + e^y = 0$	(I) order 2, degree not defined
(B) $\frac{d^2y}{dx^2} = \left[1 + \left(\frac{dy}{dx}\right)^2\right]^{3/2}$	(II) order 2, degree 1
(C) $\left(\frac{d^2y}{dx^2}\right)^2 + e^{(\frac{dy}{dx})} = 0$	(III) order 1, degree 1
(D) $\frac{d^2y}{dx^2} + x\frac{dy}{dx} - 2y = logx; x > 0$	(IV) order 2, degree 2

Choose the correct answer from the options given below:

CUET Mathematics 2025 15 May Shift 1 PYQs