The question:
Write down the form of 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.