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Question: ''How do I solve this ODE series in Maple''

Question:''How do I solve this ODE series in Maple''

Saha 70 Maple
April 19 2022
2

How to rectify this error

k := 0;

for k[1] from 0 to k do Y[k[1]+3] := solve(sum(sum(factorial(k[1]+3)*(-1)^((k-k[1]-1)*(1/2))*Y(k[1]+3)/(factorial(k[1])*factorial(k-k[1])), k[1] = 0 .. k), k = 0 .. infinity)-(sum(1/4*((-1)^((1/2)*k)/factorial(k)-(3^k)(-1)^((1/2)*k)/factorial(k)), k = 0 .. infinity))-(sum(factorial(k[1]+2)*(-1)^((k-k[1])*(1/2))*Y(k[1]+2)/(factorial(k[1])*factorial(k-k[factorial(1)])), k[1] = 0 .. k)), Y[k[1]+3]) end do;
                               0
Error, (in sum) summation variable previously assigned, second argument evaluates to 0 = 0 .. k
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