\[ y(x) \left (a \left (4 c^2 \nu ^2-a^2\right )+4 b^2 c^2 (c-a) x^{2 c}\right )+y'(x) \left (3 (a-1) a x+4 b^2 c^2 x^{2 c+1}-4 c^2 \nu ^2+1\right )+3 (1-a) x^2 y''(x)+x^3 y^{(3)}(x)=0 \] ✗ Mathematica : cpu = 0.232764 (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 , exception
time expired