What is the solution for (dy)/(dx)= x/y ,y(0)=-7 ?

The solution for (dy)/(dx)= x/y ,y(0)=-7 is y=-sqrt(x^2+49)

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(dy)/(dx)= x/y ,y(0)=-7

\frac{d y}{d x} = \frac{x}{y}, y (0) = - 7

y = - x^{2} + 49

Solution steps

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

Solve separable ODE:

y = - x^{2} + 49

y = - x^{2} + 49

y^{^{''}} + \frac{3}{x} y^{^{'}} = 0

\frac{d y}{d x} = \frac{8 x}{5 y}

\int (x^{2} + 4)^{2} d x

x \to \infty lim (- 5 x^{3})

4 x^{3} - 6 x^{2} + 8 x - 4

What is the solution for (dy)/(dx)= x/y ,y(0)=-7 ?
The solution for (dy)/(dx)= x/y ,y(0)=-7 is y=-sqrt(x^2+49)