No idea how to find this numerical value from this first order differential equation
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.
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!