If y=y(x) is the solution of the differential equation, \sqrt{4-x^2} \frac{d y}{d x}= ( ( \sin ^{-1} (\frac{x}{2}) ) ^2-y) \sin ^{-1} (\frac{x}{2}) ,-2 \leq x \leq 2, y(2) =\frac{\pi^2-8}{4}, then y^2(0) is equal to ______ . [28 Jan 2025 Shift 2]

Differential Equations Part 3

Section: Mathematics

Question : 22 of 34

Marks: +1, -0

If y=y(x) is the solution of the differential equation,
√4−x2‌

=((sin‌−1(‌

))2−y)sin‌−1(‌

),−2≤x≤2,y(2) =‌

π2−8

, then y2(0) is equal to ______ .

[28 Jan 2025 Shift 2]

Go to Question:

Prev Question

Next Question