Consider the 3rd order ODE  y”’-4y”=0  a) Write down the auxiliary equation and solve it (justify your answer) b) Find the general solution of the differential equation c)  Find the solution that satisfies the initial values  y(0)=2, y'(0)=1, y”(0)=8   Note: You must show all your work to deserve the full credit assigned to any question.

 When extrafusal (skeletal) muscle contracts, the tension on the central nuclear region of the muscle spindle _____________ and the firing rate of the Type Ia afferent sensory nerve fiber _______________.

Consider the 3rd order ODE  

One of the social determinants of health include all the following EXCEPT:

Find the general solution of y”+4y=4sin(2t)+8cos(2t) Note: You must show all your work to deserve the full credit assigned to any question.

Which of the following statements relating to healthcare utlization is false?

A small, gram-negative coccobacillus is isolated from a lymph node aspirate of a hunter with ulceroglandular symptoms after handling wild rabbits. The organism grows poorly on standard media, but appears after 48 hours on cysteine-enriched chocolate agar. The organism is oxidase negative and provides a weak postive catalase reaction. The technologist presumptively identifies the isolate as Francisella tularensis.  What is the next best step?

Decide whether or not the method of undetermined coefficients can be applied to find a particular solution of the given equation. Justify your answer   a) y”-8y’+xy=sin(x) b) 7y”-5y’-2y=13x c) 2y”’-y”+4y’-2y=

Use the definition to find the Laplace transform of     Note: You must show all your work to deserve the full credit assigned to any question.

A pediatric patient is brought to the clinic with acute onset of bilateral conjunctival redness, tearing, and crusting around the eyes. Several classmates have developed similar symptoms. A conjunctival swab is collected for culture. Gram stain shows small, pleomorphic gram-negative coccobacilli. What is the most common cause of the described illness?