I solve the wrong equation
I have to find a power series solution to this equation of the form
Then solve the equation directly.
I have worked out by studying the equation that the solution is but i can't work out how to obtain that answer.
My working so far is:
(both of sums go from to I wasn't sure how to write those in LaTex.)
Thanks in advance
For this kind of problems, you should write the starting indice
Let be the solution of the equation.
Let to get
Differentiate successively, and let to get
So either n=1, either
So all the possible solutions are :
- ---> is a solution
- and . And can be whatever you want. So is a solution.
@ Tessy : you got the wrong equation