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((a+1)x+b)y′(x)+(x−1)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
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