\[ y(x) \left (a \left (4 c^2 \nu ^2-a^2\right )+4 b^2 c^2 (c-a) x^{2 c}\right )+y'(x) \left (3 (a-1) a x+4 b^2 c^2 x^{2 c+1}-4 c^2 \nu ^2+1\right )+3 (1-a) x^2 y''(x)+x^3 y^{(3)}(x)=0 \] ✗ Mathematica : cpu = 0.146808 (sec), leaf count = 0
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]
, 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
dsolve(x^3*diff(diff(diff(y(x),x),x),x)+3*(1-a)*x^2*diff(diff(y(x),x),x)+(4*b^2*c^2*x^(2*c+1)+1-4*nu^2*c^2+3*a*(a-1)*x)*diff(y(x),x)+(4*b^2*c^2*(c-a)*x^(2*c)+a*(4*c^2*nu^2-a^2))*y(x)=0,y(x))
, exception
cannot mix numeric and boolean arguments to max