2.10 Semi-Infinite Rod

2.10 Semi-Infinite Rod

  • 2 is an eigenvalue.
  • We have only seen problems over finite intervals up to this point.
    • It is useful to assume that an object is infinite.
  • Extending from 0 to [?
    • ].
  • There is no other boundary condition in the absence of one.

  • The heat equation and boundary condition are not different.
  • A sum of functions is not fixed.
    • We can attack them.

  • We were told to use a negative constant.

  • The improper integral is made by the exponential function.
  • The interpretation of our solution must be taken care of.
  • The problem can be solved in Eqs.

  • The temperature of the long right end is different from the left one.
    • The solution is given by the teacher.
  • The values are 0.01, 0.1, and 1.
    • 2 hasn't changed much from its initial value.

  • The temperature at the surface varies according to time of day and season.