Question 2 (10 points) Show that the given differential equations is exact or not.  If its exact, solve it directly.  If its not exact, solve it by finding an appropriate integrating factor.

Phenobarbital (Luminal) 45 mg p.o. BID is ordered for a child with seizures weighing 35 lb. The recommended dosage is 6 to 8 mg/kg every 24 hr. in 2 divided doses.True or False: the dosage ordered is safe.  (Prove mathematically) 

Question 4 (10 points) Find the inverse Laplace transform

Provide an example from the article of a mutation in cattle with a moderate-to-large effect on a complex trait and describe its impact.

Question 9 (10 points) Find a general solution  to the following differential equation using the method of variation of parameters.

Question 3 (10 points) The radioactive isotope of a substance, decays at a rate proportional to the amount present at the time  and has a half-life of 3.3 hours.  If 1 gram of this isotope is present initially, how long will it take for 75% of the substance to decay?

Question 5 (10 points) Give the largest interval over which the general solution is defined and find the general solution for the given linear 1st order differential equation.

Question 5 (10 points) Consider the second order nonhomogeneous linear equation

Question 1 (10 points) Suppose that and

What is the primary challenge in identifying QTNs in livestock as compared to model organisms?