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

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

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

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

y = - x^{2}, y = - - x^{2}

Solution steps

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

Solve separable ODE:

y = - x^{2}, y = - - x^{2}

y = - x^{2}, y = - - x^{2}

\frac{\partial}{\partial x} ((x + 2)^{2} - 2 (y - 4)^{2} + 1)

\frac{d y}{d x} + y = x, y (0) = 3

\frac{\partial}{\partial x} (\frac{1}{x} - 2 y)

f (x) = sin^{2} (2 x)

\int csc^{2} (x co) t^{2} x d x

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