Given at point (x,y)
and the curve goes through (2, -1/3)
Prove the equation of the curve,
Separate the variables and integrate...
Then, use the values of (2, -1/3) to find the value of the constant of integration.
Or, you can find directly:
EDIT: You should know by now that you should post what you have tried.
Have you tried anything your self? To show that a given function satisifies a differential equation is typically much simpler than actually solving the equation- just differentiate the given y and show that it satisfies the equation.
However, in this case the equation "separates" as and those are easy to integrate.