What is the solution for (dy)/(dx)= x/y ,y(0)=-3 ?

The solution for (dy)/(dx)= x/y ,y(0)=-3 is y=-sqrt(x^2+9)

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(dy)/(dx)= x/y ,y(0)=-3

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

y = - x^{2} + 9

Solution steps

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

Solve separable ODE:

y = - x^{2} + 9

y = - x^{2} + 9

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What is the solution for (dy)/(dx)= x/y ,y(0)=-3 ?
The solution for (dy)/(dx)= x/y ,y(0)=-3 is y=-sqrt(x^2+9)