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Question: except kummer representation, can dsolve output simple?

Question:except kummer representation, can dsolve output simple?

Ex 95
diff dsolve
July 17 2012
0

except kummer representation, can dsolve output simple? or any other method to do this?

s := x;
tau := alpha - 1 - x;
source := s*Diff(y(x),x$2)+tau*Diff(y(x),x)+n*y(x)=0;
sol := dsolve(source,y(x));
target1 :=ztrans(sol,x,z);


when N = 1
target2 := sqrt(1-a^2)/(1-a/z)*((1/z-a)/(1-a/z))^(N-1);
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