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Question: What does it mean for the recurrence relation for the coefficients of the power series to be 0?

Question:What does it mean for the recurrence relation for the coefficients of the power series to be 0?

GPY 80 Maple
diff powseries
February 24 2015
0

I have the following :

with(powseries):
difeq:=diff(y(x),x,x)+x*y=0;
icval:=y(0)=1,D(y)(0)=0;
pow_soln:=powsolve({difeq,icval});
tpsform(pow_soln,x,30);
pow_soln(_k);

for which the  transformed power series

is : 1 -(1/6)y*(x^3)

and pow_soln(_k) returns 0. What does this mean?

 
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