Solve by variables separable method- d y d x - 1 - y 2 1 - x 2

(dydx)=(1+y^21+x^2) ∫ (dy1+y^2)=∫ #10;(dx1+x^2) tan^ 1y=tan^ 1x+C ...

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Implicit Differentiation

Solve by vari...

Question

Solve by variables separable method: $\frac{d y}{d x} = \frac{1 + y^{2}}{1 + x^{2}}$

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y \sqrt{1 - x^{2}} + x \sqrt{1 - y^{2}} = 1

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

\sqrt{1 - x^{2}} + \sqrt{1 - y^{2}} = a (x - y)

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

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