y`-y=x^2 +1

y=ax^2+bx+c ( as it x^2 +1 is a quadratic) I also found that y´= 2ax+b

I then plugged it into the original equation ( y´-y= x^2 +1)

and got

(2ax+b)-(ax^2 +bx+c)= x^2+1

I am suppose to find a,b,c ( constants) but I dont really know how to start as they are 3 different constants. I wasnt able to come up with 3 different equations.