CUET Mathematics - In the following differential equation d^3y/dx^3 + (dy/dx)^2 = 2x^2 (d^2y/dx^2) order and degree is: | PYQs + Solutions

CUET Mathematics 2025 26 May Shift 2

Calculus

Hard

common

order 2, degree 2

order 2, degree not defined

order not defined, degree 2

order 1, degree 2

✅ Correct Option: 2

Related questions:

22 May Shift 1

The solution of the differential equation $\frac{dr}{dt} = -rt, r(0) = r_0$ is

29 May Shift 2

For the differential equation $x\frac{dy}{dx} + 3y = x^2\log_e x$ , which of the following statements are TRUE?

(A) Product of order and degree is 1

(B) Integrating factor is $x^3$

(D) General solution is $y = \frac{x^3}{36}(6\log_e|x| - 1) + Cx^{-3}$ , C is an arbitrary constant.

Choose the correct answer from the options given below:

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.

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

Choose the correct answer from the options given below:

CUET Mathematics 2025 26 May Shift 2 PYQs