The solution to $$\,\,{x^2}{y^{11}} + x{y^1} - y = 0\,\,$$ is

The solution to $$\,6y{y^1} - 25x = 0\,\,$$ represents a

The homogeneous part of the differential equation $$\,{{{d^2}y} \over {d{x^2}}} + p{{dy} \over {dx}} + qy = r\,\,$$ ( $$p, q, r$$ are constants) has real distinct roots if

The solutions of the differential equation $${{{d^2}y} \over {d{x^2}}} + 2{{dy} \over {dx}} + 2y = 0\,\,$$ are