# Equations with algebraic solutions
#
# hypergeometricsols finds hypergeometric solutions of all of the differential 
# operators in the list Linp below.
#
# Linp contains differential operators with hypergeometric 
# solutions where the pullback functions are algebraic functions. 
# 
# Then
# type hypergeometricsols(Linp[i]) where i=1,...,10.

Linp := [ Dx^2+1/4*(x^4-44*x^3+1206*x^2-44*x+1)/(x^2-34*x+1)^2/x^2,
Dx^2+1/18*(4*x^4-56*x^3+1159*x^2-23112*x+131436)/(x^2-108)^2/(x-10)^2,
Dx^2+3/64*(4*x^4-36*x^3+637*x^2-9024*x+34704)/(x^2-48)^2/(x-7)^2,
Dx^2+3/64*(20*x^4+20*x^3+457*x^2+3122*x+4481)/(x^2-2*x-11)^2/(2*x+5)^2,
Dx^2+3/2*(15*x^4-346*x^3+2335*x^2-3852*x+1860)/(x^2-12*x+12)^2/(x-10)^2/(x-1)^2,
Dx^2+2*(5469*x^4-53768*x^3+151855*x^2-372680*x+1405536)/(11*x^2+8*x-352)^2/x^2/(2*x-11)^2,
Dx^2+2*(5469*x^4+53768*x^3+151855*x^2+372680*x+1405536)/(11*x^2-8*x-352)^2/x^2/(2*x+11)^2,
Dx^2+3/16*(825*x^4+612*x^3-770*x^2+500*x+625)/x^2/(25*x^2+14*x+25)^2,
Dx^2+3/16*(3185*x^4+2180*x^3+1510*x^2-252*x+49)/(49*x^2+26*x-7)^2/x^2,
Dx^2+3/64*(5*x^4-5*x^3+10605*x^2-1421711*x+8950370)/(x^3-1515*x+46106)^2 ]: