Question 4 (10 points) Find the inverse Laplace transform

Question 7 (10 points) Find a particular solution for the DE below by the method of undetermined coefficients. Use this to construct a general solution (i.e. ).

Question 8 (10 points) Find a general solution to the following differential equation using the method of variation of parameters.

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.

Using the answer from #3, determine what time the infusion will be completed if the fluids were hung at 1430. Use military time.

Question 4 (10 points) Use the reduction of order formula to find a second solution  of  given that 

Question 10 (10 points) Solve the given initial-value problem:

Use the following weight-based heparin protocol for the following 3 problems.  1. Bolus heparin at 80 units/kg2. Begin intravenous infusion of heparin at 18 units/kg/hr using 25,000 units of heparin in 250 mL of 0.45% NaCl for 100 units per mL.3. Adjust intravenous heparin daily on the basis of APTT results.•    APTT less than 35 sec. Rebolus with 80 units/kg and increase rate by 4 units/kg/hr•    APTT 35–45 sec. Rebolus with 40 units/kg and increase rate by 2 units/kg/hr•    APTT 46–70 sec. No change•    APTT 71–90 sec. Decrease rate by 2 units/kg/hr•    APTT greater than 90 sec. Stop heparin infusion for 1 hour and decrease rate by 3 units/kg/hrA client weighs 158.4 lb.   b. The initial heparin infusion rate: _________mL/hour   The IV pump is calibrated to deliver in tenths of a mL/hr.  Round to the nearest tenth mL/hr.

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

Which of the following techniques is most commonly used to refine the confidence interval for QTL identification in livestock?