Heat conduction consider heat conduction through the walls of a pipe when the inside wall temperature is 200 °c, the outside wall temperature is 80 °c and the thickness of the wall is 0.05 meters. the inside radius is 0.05 meter (ro), and the outside radius is 0.1 m. the differential equation which describes the temperature distribution is: dt+r(er) the finite difference representation of this diferen eqaio generates a set of equations of the dx2 following form: 2r +br)t+1 tt + (-2 )ti-1-0, for i= 2,3, 10 where r = ro + δr(i-1 )-0.05 + 0.005(-1), and t,-200 ℃ t11-80 °c solve for the temperature distribution using the lu decomposition method. compare your answer with any matlab built-in function. plot your results.

scientific laws are the result of testing theories and proving them to be facts.

small = small current large mag large current

this is an example of "committed" time.

committed time, as contracted time, takes need over essential and available time since it is seen as profitable work. it alludes to the time allotted to keep up a home and family. at the point when a man is commuting using committed time this individual may feel that the drive is an obligation to family, for example, strolling youngsters to class or driving a mate to work. contracted and committed time clients may feel that their commute could really compare to the commute of important or leisure time clients on the grounds that their commute is profitable work. in this manner, they might be more disposed to pick a mechanized method of movement.  

= initial pressure

= final pressure = 2

= initial volume

= final volume = /4

= initial temperature = 20 c = 20 + 273 = 293 k

= final temperature = ?

using the equation