The question:

Write down theformof the particular solution you should try when solving the non-homogeneous differential equation

$\displaystyle \frac{d^2y}{dx^2} - 8\frac{dy}{dx} + 16y = 2e^{4x}$

My answer:

$\displaystyle y_p = Cx^2e^{4x}$

Does this look correct? Thanks.