The degree of the differential equation [1 + (dy/dx)]^3 = (d^2 y/dx^2)^2 is : Option 1: 1 Option 2: 2 Option 3: 3 Option 4: 4

The answer is '2'. View full solution:

CUET Mathematics - The degree of the differential equation [1 + (dy/dx)]^3 = (d^2 y/dx^2)^2 is : | PYQs + Solutions

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.

(C) it also passes through the point $(-1, \frac{1}{\sqrt{e}} - 1)$

(D) Its equation is $xy(x + 1)\left(y - \frac{1}{\sqrt{e}} + 1\right) = 0$

Choose the correct answer from the options given below:

15 May Shift 1

For $y \neq 0$ , the particular solution of the differential equation $2ye^{x/y}dx + (y - 2xe^{x/y})dy = 0$ at the point (1, 1) is

14 May Shift 1

Consider the differential equation, $x\frac{dy}{dx} = y(\log_e y - \log_e x + 1)$ , then which of the following are true?

(A) It is a linear differential equation

(B) It is a homogenous differential equation

(C) Its general solution is $\log_e\left(\frac{y}{x}\right) = Cx$ , where C is constant of integration

(D) Its general solution is $\log_e\left(\frac{x}{y}\right) = Cy$ , where C is constant of integration

(E) If $y(1) = 1$ , then its particular solution is $y = x$

Choose the correct answer from the options given below:

CUET Mathematics 2023 30 May Shift 3 PYQs

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