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Question: Differential equation empty bracket output problem

Question:Differential equation empty bracket output problem

mikealpha85 15 Maple 16
differential-equation
September 10 2013
1

The solution to the following differential equations results in empty brackets [] and I want to know their content

> Restart; ode := B*(x-1)^2*(diff(y(x), x, x))+C*(x-1)*(diff(y(x), x))+(A-x/(x-1))*y(x) = 0;


> dsolve(ode);

y(x) = _C1*(x-1)^((1/2)*(-C+B-I*sqrt(-B^2+(2*C+4*A-4)*B-C^2))/B)*hypergeom([], [(B+I*sqrt(-B^2+(2*C+4*A-4)*B-C^2))/B], 1/(B*(x-1)))+_C2*(x-1)^((1/2)*(-C+B+I*sqrt(-B^2+(2*C+4*A-4)*B-C^2))/B)*hypergeom([], [(B-I*sqrt(-B^2+(2*C+4*A-4)*B-C^2))/B], 1/(B*(x-1)))
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