ok i have a problem, that i cant seem to get started on...

so here is the problem..

after substituting into a differential equation, the resulting equation is given below. find two power series solutions. list at least 5 non-zero terms in each sequence before using the....

im thinking that i just substitute different values for k to find the first five terms? is this right? or am I off in my approach?

any thoughts or assistance would be greatly appreciated...