For the differential equation (xlogex)dy=(logex−y)dx
(A) Degree of the given differential equation is 1.
(B) It is a homogeneous differential equation.
(C) Solution is 2ylogex+A=(logex)2, where A is an arbitrary constant
(D) Solution is 2ylogex+A=loge(logex), where A is an arbitrary constant
Choose the correct answer from the options given below :
Held on 16 May 2024 · Verified 13 Jul 2026.
(A) and (C) only
(A), (B) and (C) only
(A), (B) and (D) only
(A) and (D) only
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
The derivative of x³ + 2x² - 5x + 1 is:
In which of the following interval the function $f(x) = x^x, x > 0$ is strictly increasing?
$\int \sin x \sin 2x \sin 3x dx$ is equal to
The differential equation representing the family of curves $y = Ax + \frac{B}{x}$, $x \neq 0$ where A and B are arbitrary constants, is given by
For the function $f(x) = -2x^3 + 3x^2 + 36x - 10$, which of the following is/are true? (A) $f$ is increasing in $(-\infty, -2)$ (B) $f$ is increasing in $(-2, 3)$ (C) $f$ is decreasing in $(-\infty, -2)$ (D) $f$ is decreasing in $(3, \infty)$ Choose the correct answer from the options given below:
Work through every CUET UG Calculus PYQ, year by year.