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Question: is it possible to find the operator g(tanhx) = tranhx

Question:is it possible to find the operator g(tanhx) = tranhx

ComputerUser 535 Maple 2015
operator
September 04 2017
0

g3 := tanh(x+1);
a:=eval(diff(g3,x$n)/n!, x=0) assuming n>=0:
tanhx := sum(a*x^n, n=0..infinity):
tanhx2 := subs(x^n=subs(_C1=0, subs(t=n!, g2))*x^n, tanhx):
diff(tanhx2, x) - tanhx2;
 

would like to find a operator to make it equalt to itself , a new differential operator for new transcendental function tanhx2
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