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1-x-2-1-y-2-a-x-y-dy-dx-1-y-2-1-x-2-without-solve-put-x-sin-and-y-sin-direct-solve-




Question Number 54745 by arvinddayama00@gmail.com last updated on 10/Feb/19
(√(1−x^2 +))(√(1−y^2 ))=a(x−y)  (dy/dx)=(√((1−y^2 )/(1−x^2 )))  without solve put x=sinθand  y=sinφ        direct solve
$$\sqrt{\mathrm{1}−{x}^{\mathrm{2}} +}\sqrt{\mathrm{1}−{y}^{\mathrm{2}} }={a}\left({x}−{y}\right) \\ $$$$\frac{{dy}}{{dx}}=\sqrt{\frac{\mathrm{1}−{y}^{\mathrm{2}} }{\mathrm{1}−{x}^{\mathrm{2}} }} \\ $$$${without}\:{solve}\:{put}\:{x}={sin}\theta{and} \\ $$$${y}={sin}\phi \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$${direct}\:{solve} \\ $$

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