clarity in the solution of the following problem

55 Views Asked by At

$$(D^2+D)y=x^2+2x+4$$

I found the solution as $$CF=C_{1}+e^{-x}C_{2}$$ and PI=$$\left(\frac{x^3}{3}\right)+4x$$

but the solution from my teacher is PI = $$\left(\frac{x^3}{3}\right)+4x+C3$$

Where This extra C3 is from, Is the solution right If I exclude the C3 ?