Chapter 4 - Vector Spaces - 4.8 Applications of Vector Spaces - 4.8 Exercises - Page 219: 5

(a) $1$ is a solution. (b) $x$ is a solution. (c) $x^2$ is not a solution. (d) $e^{x}$ is a solution.

Consider the linear differential equation $y^{(4)}+y^{\prime \prime \prime}-2 y^{\prime \prime}=0$ (a) $1$ is a solution. (b) $x$ is a solution. (c) $x^2$ is not a solution. (d) $e^{x}$ is a solution.