y(x) \left(\left(a^2-c^2 \nu ^2\right) \left(a^2+4 a c-c^2 \nu ^2+4 c^2\right)-b^4 c^4 x^{4 c}\right)+x^2 \left(2 a^2+4 (a+c-1)^2+4 (a-1) (c-1)-2 c^2 \nu ^2-1\right) y''(x)+x (2 a+2 c-1) \left(-2 a^2-(2 a-1) (2 c-1)+2 c^2 \nu ^2\right) y'(x)+x^3 (-4 a-4 c+6) y^{(3)}(x)+x^4 y^{(4)}(x)=0