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

The solution for (dy)/(dx)= x/y ,y(0)=-2 is y=-sqrt(x^2+4)

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(dy)/(dx)= x/y ,y(0)=-2

\frac{d y}{d x} = \frac{x}{y}, y (0) = - 2

y = - x^{2} + 4

Solution steps

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

Solve separable ODE:

y = - x^{2} + 4

y = - x^{2} + 4

\frac{6}{s} + \frac{24}{s ^{2} + 16}

x \to 6 lim (\frac{3}{x})

\frac{d}{d x} (\frac{e ^{x}}{e ^{x} + 2})

\int x sec^{2} (2 x) d x

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

What is the solution for (dy)/(dx)= x/y ,y(0)=-2 ?
The solution for (dy)/(dx)= x/y ,y(0)=-2 is y=-sqrt(x^2+4)