Pointers for the Midterm Exam

 

·       Total number of problems = 5

 

·       80% or 4 problems will be taken from the past assignments, distributed as follows:  2 from Chap. 3;  1 from Chap. 5; and 1 from Chap. 12.

 

·       20% or 1 problem will be any of the following:

 

1.      Derive the general indicial equation (Eq. 14)                 

           for the solution of  y”+P(x)y’+Q(x)y=0            

            about a regular singular point. (pages 254-255)

 

2.      Show that the general solution of  Bessel

           Equation (1) is Eq. (9) on page 262.                

           (pages 260-262)

 

3.       Prove any of the following theorems:

             Theorem 3.5,

             Theorem 3.6,  or

             Theorem 3.7

 

4.      Derive the Fourier Series: Eqs. 8, 9, 10, 11

            On page 659.