Chapter 4 - Vector Spaces - 4.8 Applications of Vector Spaces - 4.8 Exercises - Page 219: 10

(a) ${x}$ is not a solution. (b) $\frac{1}{x}$ is a solution. (c) $x e^x$ is not a solution. (d) $x e^{-x}$ is not a solution.

Consider the linear differential equation $x y^{\prime \prime}+2 y^{\prime}=0$ (a) ${x}$ is not a solution. (b) $\frac{1}{x}$ is a solution. (c) $x e^x$ is not a solution. (d) $x e^{-x}$ is not a solution.