What is the solution for (dy)/(dx)=((1-y^2)/(1-x^2))^{1/2} ?

The solution for (dy)/(dx)=((1-y^2)/(1-x^2))^{1/2} is y=sin(arcsin(x)+c_{1})

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(dy)/(dx)=((1-y^2)/(1-x^2))^{1/2}

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

y = sin (arcsin (x) + c_{1})

Solution steps

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

Solve separable ODE:

y = sin (arcsin (x) + c_{1})

y = sin (arcsin (x) + c_{1})

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What is the solution for (dy)/(dx)=((1-y^2)/(1-x^2))^{1/2} ?
The solution for (dy)/(dx)=((1-y^2)/(1-x^2))^{1/2} is y=sin(arcsin(x)+c_{1})