DSolve[(E0 + 4*b^2*c^2*D0*x^(2*c))*y[x] + x*((-1 + 2*a)*C0 + 4*b^2*B0*c^2*x^(2*c))*Derivative[1][y][x] + x^2*(A0 + 4*b^2*c^2*x^(2*c))*Derivative[2][y][x] + (6 - 4*a)*x^3*Derivative[3][y][x] + x^4*Derivative[4][y][x] == 0,y[x],x]