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

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

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(dy)/(dx)=-x/y ,y(0)=1

\frac{d y}{d x} = - \frac{x}{y}, y (0) = 1

y = - x^{2} + 1

Solution steps

\frac{d y}{d x} = - \frac{x}{y}

Solve separable ODE:

y = - x^{2} + 1

y = - x^{2} + 1

\frac{\partial}{\partial x} (e^{x y} + z)

\int_{- 10}^{10} x^{2} d x

\frac{2}{x}, \frac{1}{2} x, 1, 2

f (x) = (2 x - 8)^{4} (x^{2} + x + 1)^{5}

\frac{d}{d x} (ln (\frac{2 x - 1}{x - 1}))

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