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Question: Maple 13 also a derivative of the third derivative of the function of getting the derivative again and again. Can you help what is the trouble in the code?

Question:Maple 13 also a derivative of the third derivative of the function of getting the derivative again and again. Can you help what is the trouble in the code?

imran 5 Maple 13
differentiation
March 02 2019
1

restart:
> y0:=0;
> D[0](y):=1;
> D(D(y))[0]:=A;
> G(x):=diff(y(x),[x$3])=-1/2*y(x)*diff(y(x),[x$2]);
> for k from 1 to 12 do
> G(k):=D@@(k)(G)[0];
> value(G(k));
> od;
> for k from 1 to 12 do
> D@@(k)(y):=G[k];
> od;
> for k from 0 to 12 do
> y0:=y0+(G[k]/k!)*x^k;
> od;
> y(x):=y0;
Please Wait...