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?

Consider the 3rd order ODE y”’-3y”=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)=4, y”(0)=6        Note: You must show all your work to deserve the full credit assigned to any question. y,

The gram stain of a pericardial fluid shows many tiny gram-negative coccobacilli. There is no growth on blood agar at 24 hours, but the chocolate agar shows small translucent colonies. The microbiologist performs a porphyrin test, which is positive.  The organism should be identified as:

Select which media types will support the growth of Haemophilus influenzae: (Choose all that apply)

(WCSP25)  50 g of each salt were placed in separate beakers and mixed with 100 g of water at room temperature (25 oC).   The solutions were heated to 100 oC and cooled back to 25 oC carefully.  Only one solution contained a precipitate after following these steps.   a. The solution of had a precipitate and it was . b. The KBr solution is .

What is the preferred specimen type for laboratory diagnosis of Bordetella pertussis infection?

(WCSP25)  Select the letters of compounds A-E that are isomers.

What type of statement is “It is either raining or not raining”?