A.) $y = At^2 + Bt + C$ B) $y = At^2 + Bt $
C.) $y = At^3 + Bt^2 + Ct + D$ D) $y = At^3 + Bt^2 + Ct $
2.) Among the following, what is the best guess for the non-homogeneous solution to the differential equation $y'' + 4y = sin(2t)$
A.) $y = Atsin(2t)$ B) $y = Atsin(2t) + Btcos(2t) $
C.) $y = Asin(2t)$ D) $y = Asin(2t) + Bcos(2t) $
3.) Among the following, what is the best guess for the non-homogeneous solution to the differential equation $y'' + 2y' + 5y = sin(2t)$
A.) $y = Atsin(2t)$ B) $y = Atsin(2t) + Btcos(2t) $
C.) $y = Asin(2t)$ D) $y = Asin(2t) + Bcos(2t) $
4.) The LaPlace transform is a linear function
A.) TRUE