ODE No. 1257

((a+1)x+b)y(x)+(x1)xy(x)=0 Mathematica : cpu = 0.0402535 (sec), leaf count = 33

DSolve[(b + (1 + a)*x)*Derivative[1][y][x] + (-1 + x)*x*Derivative[2][y][x] == 0,y[x],x]
 

{{y(x)c1xb+12F1(b+1,a+b+1;b+2;x)b+1+c2}} Maple : cpu = 0.184 (sec), leaf count = 27

dsolve(x*(x-1)*diff(diff(y(x),x),x)+((a+1)*x+b)*diff(y(x),x)=0,y(x))
 

y(x)=c1+hypergeom([b+1,a+b+1],[b+2],x)xb+1c2