\[ y(x) \left (a \left (4 c^2 \nu ^2-a^2\right )+4 b^2 c^2 (c-a) x^{2 c}\right )+y'(x) \left (3 (a-1) a x+4 b^2 c^2 x^{2 c+1}-4 c^2 \nu ^2+1\right )+3 (1-a) x^2 y''(x)+x^3 y^{(3)}(x)=0 \] ✗ Mathematica : cpu = 0.150694 (sec), leaf count = 0 , could not solve
DSolve[(a*(-a^2 + 4*c^2*nu^2) + 4*b^2*c^2*(-a + c)*x^(2*c))*y[x] + (1 - 4*c^2*nu^2 + 3*(-1 + a)*a*x + 4*b^2*c^2*x^(1 + 2*c))*Derivative[1][y][x] + 3*(1 - a)*x^2*Derivative[2][y][x] + x^3*Derivative[3][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , result contains DESol
\[ \left \{ y \left ( x \right ) ={\it DESol} \left ( \left \{ {x}^{3}{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}{\it \_Y} \left ( x \right ) + \left ( -3\,a{x}^{2}+3\,{x}^{2} \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}{\it \_Y} \left ( x \right ) + \left ( 4\,{b}^{2}{c}^{2}{x}^{2\,c+1}-4\,{\nu }^{2}{c}^{2}+3\,{a}^{2}x-3\,ax+1 \right ) {\frac {\rm d}{{\rm d}x}}{\it \_Y} \left ( x \right ) + \left ( -4\,{x}^{2\,c}a{b}^{2}{c}^{2}+4\,{x}^{2\,c}{b}^{2}{c}^{3}+4\,a{c}^{2}{\nu }^{2}-{a}^{3} \right ) {\it \_Y} \left ( x \right ) \right \} , \left \{ {\it \_Y} \left ( x \right ) \right \} \right ) \right \} \]