Diferrential Equation question

[jofree87]

Show that y= 1/(x² - c) is a one parameter family of solutions of the differential equation dy/dx + 2xy² = 0

This might sound like a stupid question, but am I just suppose to find the derivative of y and plug that into the differential equation and see if the solution is zero? Is that what they mean by "show"?

 

[Dick]

I think that's exactly what they mean.