Let sin-1x-sin-1y-2 then prove that -1-x2dydx-1-y2-0-

Given, sin^ 1x+sin^ 1y=π2 Now differentiating both sides with respect to x we get, 1√(1 x^2)+1√(1 y^2)dydx=0 or, √(1 x^2)dydx+√(1 y^2)=0 . ...

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Formation of a Differential Equation from a General Solution

Let sin-1x+...

Question

Let ${sin}^{- 1} x + {sin}^{- 1} y = \frac{π}{2}$ then prove that $\sqrt{1 - x^{2}} \frac{d y}{d x} + \sqrt{1 - y^{2}} = 0$ .

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