What is the solution for (dy)/(dx)= x/y ,y(0)=-5 ?

The solution for (dy)/(dx)= x/y ,y(0)=-5 is y=-sqrt(x^2+25)

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(dy)/(dx)= x/y ,y(0)=-5

\frac{d y}{d x} = \frac{x}{y}, y (0) = - 5

y = - x^{2} + 25

Solution steps

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

Solve separable ODE:

y = - x^{2} + 25

y = - x^{2} + 25

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

ln (3^{x})

y = 3 e^{x} cos (x)

\int (\frac{x}{7} - \frac{3}{4} x^{4}) d x

2 t^{2} y^{^{''}} + 3 t y^{^{'}} - y = 0

What is the solution for (dy)/(dx)= x/y ,y(0)=-5 ?
The solution for (dy)/(dx)= x/y ,y(0)=-5 is y=-sqrt(x^2+25)