Solve Differential equation for the original equation

Hi,

Is my working correct for the following question?

Question: Solve for the following differential equation for the original equation: $\displaystyle \[

\frac{dy}{dx} = \frac{-x}{2y}

\]$

Here is my working:

$\displaystyle \[

\frac{dy}{dx} = \frac{-x}{2y}

\]$

$\displaystyle \int2ydy = \int-xdx$

$\displaystyle \frac{2y^2}{2} = \frac{-x^2}{2} + C$

Multiply both sides by 2:

$\displaystyle 2y^2 = -x^2 + 2C$

What do I do next in order to solve the equation for the original equation?