Find the general solution of the differential equation dxdy+1−x21−y2=0.

Given, dxdy+1−x21−y2=01−y2dy=1−x2−dxIntegrating both sides, we get sin−1y=cos−1x+c

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Find the general solution of the differential equation {dy}{d

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Find the general solution of the differential equation $\frac{d y}{d x} + \frac{1 - y ^{2}}{1 - x ^{2}} = 0$ .

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Find the general solution of the differential equation

\frac{d y}{d x} + \frac{1 - y ^{2}}{1 - x ^{2}} = 0

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Given,

\frac{d y}{d x} + \frac{1 - y ^{2}}{1 - x ^{2}} = 0

\frac{d y}{1 - y ^{2}} = \frac{- d x}{1 - x ^{2}}

Integrating both sides, we get

sin^{- 1} y = cos^{- 1} x + c

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Question Text	Find the general solution of the differential equation $\frac{d y}{d x} + \frac{1 - y ^{2}}{1 - x ^{2}} = 0$ .
Answer Type	Text solution:1
Upvotes	150