Given dydx=3x2+1\frac{dy}{dx} = 3x^2 + 1dxdy=3x2+1, what can you conclude about the general solution?
It is a family of cubic functions of the form x3+x+Cx^3 + x + Cx3+x+C.
It is a family of quadratic functions.
It is a single unique function.
The solution does not exist for x>0x > 0x>0.