Consider the differential equation dy/dx = y+1/x+1, and y=0 when x=2. The value of y at x=3 is : Option 1: 0 Option 2: 1 Option 3: 2 Option 4: 3

The answer is '1'. View full solution:

CUET Mathematics - Consider the differential equation dy/dx = y+1/x+1, and y=0 when x=2. The value of y at x=3 is : | PYQs + Solutions

6 Aug Shift 2

If the order and the degree of the differential equation $\left(\frac{dy}{dx}\right)^{\frac{1}{2}} = \left(\frac{d^2y}{dx^2}\right)^{\frac{1}{5}}$ are O and S respectively, then $S - O$ is equal to

22 May Shift 1

Which of the following statements is/are true?

(A) $(\tan^{-1} y - x)dy = (1 + y^2)dx$ is a differential equation where variables are separable.

(B) $(1 + x^2)dy + 2xydy = \cot x \ dx (x \neq 0)$ is a first order linear differential equation.

(C) $(4x + 6y + 5)dy - (3y + 2x + 4)dx = 0$ is not a homogeneous differential equation.

(D) $(xy)dx - (x + y^2)dy = 0$ is a homogeneous differential equation.

Choose the correct answer from the options given below:

7 Aug Shift 2

If curve represented by differential equation $x \frac{dy}{dx} + y = e^x$ passes through (1, 1), then $y(-1)$ is :

CUET Mathematics 2022 17 Aug Shift 2 PYQs

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