Report Issue

JEE MAIN 2026
28-1-2026 S1
Question
Let $y=y(x)$ be the solution of the differential equation $$ x \frac{d y}{d x}-\sin 2 y=x^3\left(2-x^3\right) \cos ^2 y, x \neq 0 . $$ If $y(2)=x$, then $\tan (y(1))$ is equal to
Select the correct option:
A
$\frac{3}{4}$
B
$\frac{7}{4}$
C
$-\frac{7}{4}$
D
$-\frac{3}{4}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Solution Image
Question Tags
JEE Main
Mathematics
Medium
Start Preparing for JEE with Competishun