State whether the following are true or false. Justify your choice.

a.) Given that $\displaystyle y = e^{-t}(\cos{t} + \sin{2t})$ solves a 2nd order, linear, homogeneous ordinary Dif EQ (ODE), the ODE in equation would be of the form $\displaystyle ay'' + by' + cy = 0$ where $\displaystyle a,b,c \in \mathbb{R}$ are constants.

b.) Given that $\displaystyle y_1$ and $\displaystyle y_2$ are fundamental sol'ns to a 2nd order, linear, homogenous ordinary dif. eq (ODE) with each solution defined on an open interval $\displaystyle I$. On all $\displaystyle I$, the Wronskian $\displaystyle W(y_1,y_2)$ is either strictly positive or it is strictly negative.