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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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