Let x=x(y) be the solution | Differential Equations JEE Main

JEE MAIN 2023

15-04-2023 S1

Question

Let $x=x(y)$ be the solution of the differential equation $2(y+2) \log _e(y+2) d x+\left(x+4-2 \log _e(y+2)\right) d y=0, y>-1$ with $x\left(e^4-2\right)=1$. Then $x\left(e^9-2\right)$ is equal to

Select the correct option:

$\frac{4}{9}$

$\frac{10}{3}$

$\frac{32}{9}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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