Answer
(a) $\sqrt{x}$ is not a solution.
(b) $x$ is not a solution.
(c) $x^2$ is a solution.
(d) $x^3$ is not a solution.
Work Step by Step
Consider the linear differential equation $x y^{\prime}-2 y=0$
(a) $\sqrt{x}$ is not a solution.
(b) $x$ is not a solution.
(c) $x^2$ is a solution.
(d) $x^3$ is not a solution.