Let y = y(x) be the solution of the... | Differential Equations

JEE MAIN 2021

20-07-2021 S1

Question

Let $y=y(x)$ be the solution of the differential equation $e^x \sqrt{1-y^2} d x+\left(\frac{y}{x}\right) d y=0, y(1)=-1$. Then the value of $(y(3))^2$ is equal to :

Select the correct option:

$1-4 e^3$

$1-4 e^6$

$1+4 e^3$

$1+4 e^6$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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