dsolve(x^4*diff(diff(diff(diff(y(x),x),x),x),x)+(6-4*a)*x^3*diff(diff(diff(y(x),x),x),x)+(4*b^2*c^2*x^(2*c)+6*(a-1)^2-2*c^2*(mu^2+nu^2)+1)*x^2*diff(diff(y(x),x),x)+(4*(3*c-2*a+1)*b^2*c^2*x^(2*c)+(2*a-1)*(2*c^2*(mu^2+nu^2)-2*a*(a-1)-1))*x*diff(y(x),x)+(4*(a-c)*(a-2*c)*b^2*c^2*x^(2*c)+(c*mu+c*nu+a)*(c*mu+c*nu-a)*(c*mu-c*nu+a)*(c*mu-c*nu-a))*y(x)=0,y(x))