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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

\int \frac{7 x}{( x ^{2} + 7 ) ^{2}} d x

\int (x^{3} + 5)^{2} d x

(x + 4)^{6} (x - 3)^{3}

cos (tan^{3} (x))

10 e^{- \frac{t}{2}}

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