Differential Equations JEE Main | Solve DE & Find cos(x(2))

JEE MAIN 2025

23-01-2025 SHIFT-2

Question

Let $x=x(y)$ be the solution of the differential equation $y=\left(x-y \frac{d x}{d y}\right) \sin \left(\frac{x}{y}\right), y>0$ and $x(1)=\frac{\pi}{2}$
Then $\cos (x(2))$ is equal to :

Select the correct option:

$1-2\left(\log _{e} 2\right)$

$1-2\left(\log _{e} 2\right)^{2}$

$2\left(\log _{e} 2\right)^{2}-1$

$2\left(\log _{e} 2\right)-1$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

Start Preparing for JEE with Competishun

Video Solution

BY competishun

Watch Solution

YouTube

Report Issue