What is the solution for (dy)/(dx)+x/y =0,y=sqrt(1-x^2) ?

The solution for (dy)/(dx)+x/y =0,y=sqrt(1-x^2) is y=sqrt(-x^2+c_{1)},y=-sqrt(-x^2+c_{1)}

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(dy)/(dx)+x/y =0,y=sqrt(1-x^2)

\frac{d y}{d x} + \frac{x}{y} = 0, y = 1 - x^{2}

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

Solution steps

\frac{d y}{d x} + \frac{x}{y} = 0

Solve separable ODE:

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

\frac{d x}{d t} = 14 - \frac{42}{100} x

y^{^{'}} = k y^{2}

y y^{^{'}} = \frac{y ^{2} - 9}{x ^{2} + 4}

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

y \frac{d y}{d x} = 3 x (y^{2} + 5)^{5}

What is the solution for (dy)/(dx)+x/y =0,y=sqrt(1-x^2) ?
The solution for (dy)/(dx)+x/y =0,y=sqrt(1-x^2) is y=sqrt(-x^2+c_{1)},y=-sqrt(-x^2+c_{1)}