Let y = y(x) be the solution of the differential equation +, where ,, . Then is equal to:

Let y = y(x) be the solution of the differential equation +,... — JEE PYQs | Mockzy

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+4 / -1

Let y = y(x) be the solution of the differential equation

$x 1 - x^{2} d y$ + $(y 1 - x^{2} - x cos^{- 1} x) d x = 0$ , where $x \in (0, 1)$ ,

$lim_{x \to 1^{-}} y (x) = 1$ , . Then $y (\frac{1}{2})$ is equal to:

$3 - \frac{π}{3}$ .

$4 - 3 π$ .

$4 - \frac{2 π}{3}$ .

$3 - \frac{π}{2 3}$ .

The value of the integral is equal to:

Let be defined by , where , for , then the area of the region bounded by the cur

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