CUET Mathematics - If e^y=x^x, then which of the following is true ? | PYQs + Solutions

CUET Mathematics

Calculus

Medium

applied

$y \frac{d^{2} y}{d x^{2}}=1$

$\frac{d^{2} y}{d^{2}}-y=0$

$\frac{d^{2} y}{d x^{2}}-\frac{d y}{d x}=0$

$y \frac{d^{2} y}{d x^{2}}-\frac{d y}{d x}+1=0$

✅ Correct Option: 4

Related questions:

13 May Shift 1

Match List-I with List-II

List-I	List-II
Function	Property
(A) $f(x) = \frac{x}{\|x\|}$ for $x \neq 0$ and $f(0) = 0$	(I) continuous but not differentiable at $x=0$
(B) $f(x) = \|x\|$	(II) continuous but not differentiable at $x=1$
(C) $f(x) = \|x^2 - 1\|$	(III) discontinuous at $x = 0$
(D) $f(x) = \|x - 1\|$	(IV) continuous but not differentiable at $x = 1, -1$

Choose the correct answer from the options given below:

19 May Shift 1

If $e^x + e^y = e^{x+y}$ , then $\frac{dy}{dx}$ =

15 May Shift 2

If $e^y(x + 1) = 1$ , then

CUET Mathematics PYQs