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Question: ''How do I solve a differential equation in Maple''

Question:''How do I solve a differential equation in Maple''

Saha 70 Maple
April 21 2022
2

I  can't solve this series,please could you help me ,the maple code for this.

restart;
U[0](x):=(e)^(x);
                             exp(x)
n:=7:  for k from 0 to n do  U[k+1](x):=solve((k+1)U[k+1](x)-((∂)^2)/((∂)^( )x^2) U[k](x)-2 U[k](x));  end do;
Error, (in solve) cannot solve expressions with diff(diff(U[0](x), x), x) for x
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