The differential equation (dynamic) model for a chemical process is as follows: d2y dy - + 5- + 3y = 2u(t) dil dt where u(t) is the single input function of time. y(O) and dyldt (0) are both zero. What are the functions of the time (e.g., e-tiT) in the solution to the ODE for output y(t) for each of the following cases? (a) u(t) = be - 21 (b) u(t) = ct b and c are constants. Note: You do not have to find y(t) in these cases. Just determine the functions of time that will appear in y(t).
Predicting bond polarity Chemical bonds are usually polar whenever the two atoms involved have different electronegativities, because the more electronegative atom will tend to pull the shared valence electrons in the bond toward it. Since electrons have a negative charge, that will give the more electronegative atom a slight negative charge. The other atom will get a slight positive charge, because it will no longer have enough electrons to fully cancel the positive charge of its nucleus. • The higher the electronegativity, the more negative the element (when comparing bond polarity) Note: The polarity is only noticeable in practice when the difference in electronegativities between atoms is greater than about 0.50. Your instructor may want you to label bonds between ato
