Find a diŽerential equation whose solution is the two parameter fam-ily of curves ln y = c1*x^2+ c2.
I've gotten this far:
y= e^(c1*x^2+ c2)
y'= 2*c1*x* (e^(c1*x^2+ c2).
I also found y''. But for the world of it I cannot figure out the differential equation from y, y' and y''.
Really appreciate your help!