recurrence relation calculation comparison error

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I dont get the idea how to calculate the recurrsive relation .I started with following code but got stuck in the for loop
syms x a B
U=sym(zeros(1));
U(1)=a;
alpha=10;
g=0.01;
B=sym(zeros(1));
for k=1:10
B=0;
for m=1:k
B=B+U(m)*(k-m+1)*(k-m+2)*U(k-m+2)
end
k*(k+1)*U(k+2)+alpha*B=g*U(k)
end
The problem is attached
  1 Comment
Torsten
Torsten on 14 Mar 2022
Solve for U(k+2) using paper and pencil.
Then you get an explicit recursion.

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