\[ x y'(x) \left (a x^{\text {a1}}+b\right )+y(x) \left (A x^{2 \text {a1}}+B x^{\text {a1}}+C x^{\text {b1}}+\text {DD}\right )+x^2 y''(x)=0 \] ✗ Mathematica : cpu = 1.09888 (sec), leaf count = 0
DSolve[(DD + B*x^a1 + A*x^(2*a1) + C*x^b1)*y[x] + x*(b + a*x^a1)*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0,y[x],x]
, could not solve
DSolve[(DD + B*x^a1 + A*x^(2*a1) + C*x^b1)*y[x] + x*(b + a*x^a1)*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
dsolve(x^2*diff(diff(y(x),x),x)+(a*x^a1+b)*x*diff(y(x),x)+(A*x^(2*a1)+B*x^a1+C*x^b1+DD)*y(x)=0,y(x))
, result contains DESol or ODESolStruc
\[y \left (x \right ) = \mathit {DESol}\left (\left \{\frac {d^{2}}{d x^{2}}\textit {\_Y} \left (x \right )+\frac {\left (a \,x^{\mathit {a1}}+b \right ) \left (\frac {d}{d x}\textit {\_Y} \left (x \right )\right )}{x}+\frac {\left (A \,x^{2 \mathit {a1}}+B \,x^{\mathit {a1}}+C \,x^{\mathit {b1}}+\mathit {DD} \right ) \textit {\_Y} \left (x \right )}{x^{2}}\right \}, \left \{\textit {\_Y} \left (x \right )\right \}\right )\]