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[20pts] 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.

In 2024, a small town hospital in Springfield, FL recorded 1,100 hospital admissions for its population of 10,000 residents. What is the hospital admission rate for that year (per 1,000 residents)?

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

Choose the most appropriate culture media for the isolation of Bordetella pertussis:

USF’s Mascot is:

Which of the following statements regarding healthcare consumer behavior is false?

A 55-year-old man is admitted with high fever, non-productive cough, and hyponatremia. A sputum gram stain shows many neutrophils but no visible organisms.  Routine bacterial cultures are negative after 48 hours. The clinician suspects Legionella pneumophila infection. What is the most rapid and specific test for confirming the diagnosis?

[6pts] Find the inverse Laplace transform  

A child presents with an infected finger after having been bitten by his pet cat.  The culture of the wound grew a pure culture of gram negative the organism shown below on gram stain.    Additional characteristics of this organism include: Indole – positive Catalase – positive Oxidase-positive Urease-negative No Growth on MAC The most likely identification is which organism?

Chancroid is the sexually transmitted disease caused by which organism?