Here is the question (and Answer under "Differential equation solution"):

"Find the solution of the differential equation that satisfies the given initial condition."

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

I'm ok when it involves only variables but when it gives me y(0) = -3, it throws me off.

My work:

dy/dx = x/y

integral of ydy = integral of xdx

1/2 * y^2 = 1/2 * x^2

y = x

That makes no sense.

Can someone please explain to me what the question is really asking as well as help me solve it? I get confused because it gives me numbers and the answer is in variables.

Thanks in advance!